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Volume 34
- Mosco-Convergence of Convex Sets and Unilateral Problems for Differential Operators with Lower Order Terms Having Natural Growth
- F-Convexity of Real Functions
- A Note about the Linear Time-Optimal Control Problem
- A Generalization of a Classical Geometric Extremum Problem
- General Monotonicity
- Relaxed Lagrangian Approach to First-Order Non-Convex Mean Field Type Control Problems
- New Characterizations of Strong Convexity
- Subdifferentials of Convex Operators Valued in the Space of Integrable Functions with Applications to Risk-Averse Optimization
- On the Uniform Convexity of the Squared Distance
- A Cautionary Tale – Every Set is an Interval Set and an Equiset
- Barycentric Stability of Nonlocal Perimeters: the Convex Case
- On Abstract Convexity with Respect to a Certain Quadratic Coupling Function: Subsets
Volume 33
- A Generalization of the Stampacchia Lemma and Applications
- Asymptotics of the p-Capacity in the Critical Regime
- Characterizing BV- and BD-Ellipticity for a Class of Positively 1-Homogeneous Surface Energy Densities
- Convex Interval Hull of Finite Sets in Real Linear Spaces: Extreme Points and Unbounded Images
- Fejér Monotone Sequences Revisited
- Optimal Control of Initial-Boundary Value Problems for Hyperbolic-Type Polyhedral Discrete and Differential Inclusions
- Some New Minimax Theorems for Generalized Convexity
- Spectral Study about Biharmonic Operator with Landesman-Lazer Condition
- Scaled Relative Graphs of Normal Matrices
- The Lions Concentration-Compactness Principle for the Dirichlet Problem for Partial Differential Equations with Variable Exponent Laplace Operator
- Lipschitzness of the Width and Diameter Functions of Convex Bodies in ℝn
- The Generalized Problem of Bolza
- Notions of Relative Interior for Compact Convex Sets
- Subgradient Evolution of Value Functions of Discrete-Time Convex Bolza Problems
- Minimal Hyperbolic Polynomials and Ranks of Homogeneous Cones
- Derivative Tests for Prox-Regularity and the Modulus of Convexity
- Variational Analysis of Orthogonally Invariant Norm Cones of Symmetric Matrices
- Convexity of Generators of Lp-like Paranorms
- On the Second Anisotropic Cheeger Constant and Related Questions
- Approximation of Convex Sets by Homothetic Copies of Polyhedra
- Relaxation for a Degenerate Functional with Linear Growth in the Onedimensional Case
- The Ever Large Subspace Cp(Y|X): Distinguished, Montel, Covered Nicely?
- A Bang-Bang Principle for the Conditional Expectation Vector Measure
- Epi-Consistent Approximation of Stochastic Dynamic Programs
- Approximation of Spherical Convex Bodies of Constant Width π/2
- A Note on the Honeycomb Optimality among Periodic Convex Tilings
- HLPK Type Theorem for Triangle Functionals Induced by Convex Functions and Further Results on Refining Jensen's Inequality
- Inequalities for Generalized Convex Functions with the Use of the Hesselager Theorem
- The Derivative of a Nonlinear Positively Homogeneous Variational Inequality is a Complementarity Problem
- Quantitative Stability of Brunn-Minkowski Inequalities for the p-Torsional Rigidity
- Subdifferential Determination of a Primal Lower Regular Function on a Banach Space
- A Note on the Carathéodory Number of the Joint Numerical Range
- Equability and Strong Equability in Banach Spaces
- Dual Equilibrium Problems in Reflexive Banach Spaces
- In Memory of Hedy Attouch: Advances and Legacies in Mathematical Analysis
- Asymptotic Behavior of the Arrow-Hurwicz Differential System with Tikhonov Regularization
- Approximation of Bilevel Optimization Problems Involving an Optimal Control Problem at the Lower Level
- On a Theorem of S.-T. Hu
- Stability of the Solutions of Nonlinear Weighted Elliptic Equations Without the Weighted Sobolev Spaces Framework
- Fast Second-Order Dynamics with Slow Vanishing Damping Approaching the Zeros of a Monotone and Continuous Operator
- Calibrations for Minimal Surfaces with Free Boundary and Cheeger-Type Problems
- Homogenization of Non-Local Energies on Disconnected Sets
- Optimal Coefficients for Elliptic PDEs
- Robust SVM Classification with ℓ0-Norm Feature Selection
- About the Bang-Bang Principle for Controlled Affine Dynamics with Brownian Noise
- A Boosted Proximal Point Method for Difference of Convex Functions in Multiobjective Optimization and the Growth of Multiproduct Firms
- New Unexpected Limit Operators for Homogenizing Optimal Control Parabolic Problems with Dynamic Reaction Flow on the Boundary of Critically Scaled Particles
- A General Scheme for Separably Reducible Properties
- The Best Constants in the Strong Convexity of |ξ|p and in the Strong Monotonicity of |ξ|p-2ξ
- Characterizations of Variational Convexity and Tilt Stability via Quadratic Bundles
- High Order Symmetrised Fractional Variation for Signal and Image Analysis
- Some Remarks on Quasiconvexity
- Remembering Hedy Attouch
- Convergence of Subdifferentials versus Convergence of Slopes
- Variational Convexity and Prox-Regularity
- On Convex Cones for which Criticality Coincides with Antipodality
- On Error Bounds of Inequalities in Asplund Spaces
- On the Weak* Convergence of Gâteaux Derivatives of Upper Envelopes
- Generic Existence and Approximation of Points of Coincidence for Nonlinear Mappings
Volume 32
- Foreword to Volume 32, Numbers 1–3
- Looking back...
- Coderivative of the Metric Projection of Strictly Hadamard Differentiable Sets in Euclidean Spaces
- Betweenness-Induced Convexity in Hyperspaces of Normed Vector Spaces
- B-Convexity, Convexification of Minkowski Averages in a Banach Space, and SLLN for Random Sets
- Quasi-Equilibrium Problems with Non-Self Constraint Maps in Topological Spaces. Necessary and Sufficient Conditions for the Existence of Solutions
- C2-Lusin Approximation of Strongly Convex Bodies
- Lipschitz Differentiability of the Supporting Function from a Geometric Viewpoint, the Nearest and the Farthest Points
- Real Roots of Real Cubics and Optimization
- Hybrid Maximum Principle for Regional Optimal Control Problems with Nonsmooth Interfaces
- McShane's Condition for the Modulus of Continuity
- A Compactness Property of the Minimizing Sequences of a Minimal Surfaces Functional
- Splitting Algorithms for Distributionally Robust Optimization
- A Unified View of Polarity for Functions
- Derivative of Inverse Mapping and Chain Rule Formulas for Gateaux Derivatives, Theorems and Counter-Examples
- Improved Stability Versions of the Prékopa-Leindler Inequality
- Estimating Random Coefficients in Mixed Variational Problems with an Application to the Stochastic Elasticity Imaging Inverse Problem for Tumor Identification
- Slopes and the Moreau-Rockafellar Theorem
- Strong Metric (Sub)Regularity in Optimal Control
- 60 Years of Cyclic Monotonicity: a Survey
- Relationships between Global and Local Monotonicity of Operators
- Functions on a Convex Set which are Both ω-Semiconvex and ω-Semiconcave II
- Closest Univariate Convex Linear-Quadratic Function Approximation with Minimal Number of Pieces
- Basin Sensitivity via Continuity of Multiset-Valued Mappings
- Local Geometry of Feasible Regions via Smooth Paths
- Unbounded Perturbation of History-Dependent Evolution Inclusion with Difference of Two Subdifferentials
- Some Remarks on Convexity
- Remark on Rochet and Choné's Square Screening Example
- Conical Points of Convex Surfaces: Generalized Unit Normal and Angle Defect
- Near Convexity and Generalized Differentiation
- The Variable Radius Form of the Extended Exterior Sphere Condition
- Hamilton-Jacobi Theory in the Calculus of Variations Under Partial Convexity Assumptions on the Lagrangian
- Convergence of Slopes in Asplund Spaces
- Well-Posedness of Passive Time-Varying Linear Cone Complementarity Systems
- Approximation Approach to Holditch's Theorem
- Prox-Regular Sweeping Processes with Bounded Retraction
- Existence of a Fixed Point for Boyd-Wong Type Contractions on Metric Spaces with Graphs
- Transversality and Strong Tangential Transversality of a Finite Number of Sets
- On the Infimum of the Upper Envelope of Certain Families of Functions
- The Minimal Time Problem of a Sweeping Process with a Discontinuous Perturbation
- The Copolarity of Pseudo-Cones
- The Gauss Map of a Nonsmooth Convex Cone and the Antipodal Mate Property
- BV Solutions of a State-Dependent Prox-Regular Sweeping Process with Nonconvex Perturbations
- A Convex, Finite and Lower Semicontinuous Function with Empty Subdifferential
- Perturbation Analysis of Error Bounds for Convex Functions on Banach Spaces
- A Note on Faces of Convex Sets
- A Remark on the Nullness of Boundaries of Uniformly Prox-Regular Sets in Banach Spaces
- Approximate Fixed Points for a Set-Valued Quasi-Contraction
- Metric Subregularity for a Piecewise Linear Mapping between two Banach Spaces
- A Condition Number Theorem for Variational Inequalities under Operator Perturbations
- On Some Uniform Estimates of Gauge Functions with Respect to Domains
- Dynamics of a Convex Combination and Superposition of Non-Volterra Quadratic Stochastic Operators
- Convex Analysis in Groups and Semigroups and Applications to Separation and Optimization
- On Strong Convergence for the Split Common Null Point Problem in Two Banach Spaces
- Optimization of Elliptic Type Differential Inclusions with Mixed Boundary Conditions
- Convergence of the String-Averaging Algorithm for Common Fixed Point Problems with a Countable Family of Operators
- Rough Families, Cluster Points, and Cores
- I-Convergence of Sequences of p-Bochner, p-Dunford and p-Pettis Integrable Functions with Values in a Banach Space
- Schrödinger-Poisson System Involving Potential Vanishing at Infinity and Unbounded Below
- On Set-Valued Derivations Modulo K
- Conditions for the Preservation of Motzkin Decomposability and the Pareto Bordered Property Under Addition
- Existence of Optimal and ε-Optimal Controls for the Stochastic Cahn-Hilliard Navier-Stokes System
- Projective Splitting with Backward, Half-Forward and Proximal-Newton Steps
- On Diversities and Finite Dimensional Banach Spaces
- Characterizations of Metric (Sub)Regularity via (Sub)Transversality
- Hypodifferentials of Nonsmooth Convex Functions and their Applications to Nonsmooth Convex Optimization
Volume 31
- A Relative-Error Inertial-Relaxed Inexact Projective Splitting Algorithm
- Characterizing Optimality for a Class of Nonconvex Quadratic Robust Optimization Problems Bilaterally Quadratically Constrained Under Interval Uncertainty
- The Extended Exterior Sphere Condition
- The Centroid Banach-Mazur Distance between the Parallelogram and the Triangle
- Perturbed Degenerate State-Dependent Sweeping Processes with Convex and Nonconvex Sets
- Compactness in Locally Convex Cones
- Small Combination of Slices and Dentability in Ideals of Banach Spaces
- A Uniqueness Result for a Translation Invariant Problem in the Calculus of Variations
- Approximation of the Value of the Resolvent of a Maximal Monotone Operator in a Banach Space
- When is a Minkowski Norm Strictly Sub-Convex?
- Lifting Approach to Integral Representations of Rich Multimeasures with Values in Banach Spaces I
- Extensions of Continuous Linear Functionals and Smoothness of Banach Spaces
- A-Numerical Radius of Semi-Hilbert Space Operators
- R-Continuity with Applications to Convergence Analysis of Tikhonov Regularization and DC Programming
- Continuity of the Conic Hull
- Ky Fan's Lemma for Metric Spaces and an Approximation to the Goldbach's Problem
- Refining the Superadditivity Inequality for Weighted Jensen and Mercer Functionals
- Viability of the Solution with a Perturbation and Feedback Control
- Jensen Convex Functions on Semigroups
- Foreword to Volume 31, Number 2
- Fifty Years of Calculus of Variations
- On the Spectrum of Sets Made of Cores and Tubes
- Wasserstein Gradient Flow of the Fisher Information from a Non-Smooth Convex Minimization Viewpoint
- Almansi Decomposition and Expansion of a Polyharmonic Function Near a Crack-Tip
- Γ-Convergence and Integral Representation for a Class of Free Discontinuity Functionals
- Stochastic Homogenization of a Class of Quasiconvex and Possibly Degenerate Viscous HJ Equations in 1D
- Finite Element Approximation of the Hardy Constant
- Infinite Horizon Optimal Control of a SIR Epidemic Under an ICU Constraint
- About the Blaschke-Santaló Diagram of Area, Perimeter and Moment of Inertia
- Existence and Uniqueness of Monge Minimizers for a Multi-Marginal Optimal Transport Problem with Intermolecular Interactions Cost
- Equivalence between Strict Viscosity Solution and Viscosity Solution in the Wasserstein Space and Regular Extension of the Hamiltonian in L2ℙ
- BMO-Type Functionals Related to the Total Variation and Connection to Denoising Models
- On the Dimension of the Singular Set in Optimization Problems with Measure Constraint
- On the Sharp Makai Inequality
- Existence and Stability for Generalized Polynomial Vector Variational Inequalities
- On Poidge-Convexity
- Stochastic Approximation in Convex Multiobjective Optimization
- A Property of Strictly Convex Functions which Differ from each other by a Constant on the Boundary of their Domain
- Pontryagin-Type Maximum Principle for a Controlled Sweeping Process with Nonsmooth and Unbounded Sweeping Set
- Singularities of Fitzpatrick and Convex Functions
- When is the Inverse of an Invertible Convex Function Itself Convex?
- Some Recent Results on Premonotone Operators
- Lifting Approach to Integral Representations of Rich Multimeasures with Values in Banach Spaces II
- Generalised Young Measures and Characterisation of Gradient Young Measures
- Nonsmooth Multiobjective Fractional Programming and Second-order Optimality Conditions for Weak Efficiency
- The Regularity Property of Compensated Convex Transforms for Semiconvex Functions of General Modulus
- On Some Relative Operator Entropies by Convex Inequalities
- Second-Order Optimality Conditions for Efficiency in C1-Smooth Robustly Quasiconvex Multiobjective Programming Problems
- Dislocation Hyperbolic Kernel Function
- Correction to "Analysis of the Implicit Euler Time-Discretization of a Class of Descriptor-Variable Linear Cone Complementarity Systems", J. Convex Analysis 29/2 (2022) 481–517
- Foreword to Volume 31, Number 4
- My Way
- Fixed Points of Generalized Pseudo-Contractions: Existence and Stability
- Evolution Inclusions with and without Rough Signals
- Continuity Phenomenon of Kenderov and Porosity: the Case of Countable Systems
- On Second Order Sufficient Conditions for a Minimum
- Regularization of Nonconvex Integro-Differential Inclusions
- Second-Order Necessary and Sufficient Efficiency Conditions for Nonsmooth Semi-Infinite Multiobjective Optimization Problems
- Dual Characterizations of Three Distance Functions
- Nonlinear Sharp Minimum and the Stability of a Local Minimum on Metric Spaces
- Critical Values of Multilinear Forms under Conic Constraints
- Compactly Locally Uniformly Convex Functions
- Well-Posedness for Integro-Differential Sweeping Processes of Volterra Type
- General Formulation of the S-Procedure
Volume 30
- On Zolezzi's Theorem for Infinite Measure Spaces
- Necessary Optimality Conditions for Convex Continuous-Time Optimization Problems
- Subdifferential and Conjugate Calculus of Integral Functions with and without Qualification Conditions
- A Minimax Lemma and its Applications
- On Special Partitions of [0,1] and Lineability within Families of Bounded Variation Functions
- Mixed Boundary Conditions as Limits of Dissipative Boundary Conditions in Dynamic Perfect Plasticity
- The Norming Set of a Bilinear Form on ℝ2 with the Octagonal Norm
- Competitive Equilibrium in Affine Economies
- On the Roots of Convex Functions
- Max-Solar Properties of Sets in Normed and Asymmetrically Normed Spaces
- On Concentration Behavior and Multiplicity of Solutions for a System in ℝN
- Extreme Points of Convex Sets
- External Forces in the Continuum Limit of Discrete Systems with Non-Convex Interaction Potentials: Compactness for a Γ-Development
- Finding Approximately Convex Ropes in the Plane
- Properties of the Level Sets of Some Products of Functions
- Quantitative Results on Algorithms for Zeros of Differences of Monotone Operators in Hilbert Space
- More on Connexions Between Subdifferential and Weak Compactness of Sublevels
- Rotundity Properties, and Non-Extendability of Lipschitz Quasiconvex Functions
- Diffeomorphism Groups of Convex Polytopes
- Support Theorems for Generalized Monotone Functions
- On Betweenness and Equidistance in Metric Spaces
- Corrigendum to "On Numerical Radius and Crawford Number Attainment Sets of a Bounded Linear Operator"
- Foreword to Volume 30, Number 2–4
- From Stochastic Programming to Variational Analysis
- Preservation or Not of the Maximally Monotone Property by Graph-Convergence
- Samplings from the Values of Random Convex Sets
- A Bundle-Like Progressive Hedging Algorithm
- Existence and Statistical Estimation of Equilibria in Stochastic Electoral Competitions
- On Carlier's Inequality
- Embedding of Topological Posets in Hyperspaces
- Why Second-Order Sufficient Conditions are, in a Way, Easy – or – Revisiting the Calculus for Second Subderivatives
- Hamilton-Jacobi Equation for State Constrained Bolza Problems with Discontinuous Time Dependence: a Characterization of the Value Function
- On the Continuity of the Continuous Steiner Symmetrization
- Time Block Decomposition of Multistage Stochastic Optimization Problems
- Various Perturbations and Relaxations of the Sweeping Process
- Orthant-Strictly Monotonic Norms, Generalized Top-k and k-Support Norms and the ℓ0 Pseudonorm
- A Quest for Simple and Unified Proofs in Regularity Theory: Perturbation Stability
- The Minimization of Piecewise Functions: Pseudo Stationarity
- Revisiting Rockafellar's Theorem on Relative Interiors of Convex Graphs with Applications to Convex Generalized Differentiation
- Stochastic Elliptic Inverse Problems. Solvability, Convergence Rates, Discretization, and Applications
- Duality Between Lagrangians and Rockafellians
- Dynamic Programming For Data Independent Decision Sets
- Epi-Convergence of Expectation Functions under Varying Measures and Integrands
- By Bid-Ask Spreads towards Competitive Equilibrium
- Trajectory Following Dynamic Programming Algorithms without Finite Support Assumptions
- On the Isolated Calmness Property of Implicitly Defined Multifunctions
- A Turnpike Property for Optimal Control Problems with Dynamic Probabilistic Constraints
- Lebesgue Infinite Sums of Convex Functions: Subdifferential Calculus
- Nonexpansive Markov Operators and Random Function Iterations for Stochastic Fixed Point Problems
- On the Stability and Evolution of Economic Equilibrium
- Epigraphical Characterization of Uniformly Lower Regular Functions in Hilbert Spaces
- Periodic and Attraction-Stifling Behavior in Numerical Minimization
- Combined Approach with Second-Order Optimality Conditions for Bilevel Programming Problems
- On the Gauss Range of a Closed Convex Set
- Farthest Distance Function to Strongly Convex Sets
- Dynamic Programming in Convex Stochastic Optimization
- Cone-Constrained Singular Value Problems
- On the Differentiability of Symmetric Matrix Valued Functions
- A Simple Proof of the Baillon-Haddad Theorem on Open Subsets of Hilbert Spaces
- Primal Characterizations of Error Bounds for Composite-Convex Inequalities
- Properties of the Fréchet Derivative of the Fenchel Conjugate of the Antidistance Function
- A Lower Bound for a Condition Number Theorem of Variational Inequalities
Volume 29
- A Simple Relaxation Approach to Duality for Optimal Transport Problems in Completely Regular Spaces
- Weak* Hypertopologies with Application to Genericity of Convex Sets
- A Combinatorial Refinement of Generalized Jessen's Inequality
- History-Dependent Sweeping Processes in Contact Mechanics
- Sharp Bernstein Inequalities for Polynomials on a Real Hilbert Space
- Ubiquitous Algorithms in Convex Optimization Generate Self-Contracted Sequences
- A Note on Cores and Quasi Relative Interiors in Partially Finite Convex Programming
- The Lifting Projection of Convex Polyhedra for Finding Delaunay Triangulations
- Approximate Calculation of the Chebyshev Center for a Convex Compact Set in ℝn
- Some Remarks on Orthogonality of Bounded Linear Operators
- A Hybrid Semismooth Quasi-Newton Method for Structured Nonsmooth Operator Equations in Banach Spaces
- Some Integral Inequalities for Arithmetically and Geometrically Convex Functions of Two Variables
- Ohlin Type Theorem and its Applications for Strongly Convex Set-Valued Maps
- G-Majorization and Fejér and Hermite-Hadamard Like Inequalities for G-Symmetrized Convex Functions
- On the Strong Concavity of the Dual Function of an Optimization Problem
- On (h,g;m)-Convexity and the Hermite-Hadamard Inequality
- Optimal Control of Second Order Sweeping Processes with Discrete and Differential Inclusions
- Existence of Solutions for a Class of Nonlocal Problems Driven by an Anisotropic Operator via Sub-Supersolutions
- Isoperimetric Inequalities in Normed Planes
- Representing Diagrams and M-Ideals in L1-Predual Spaces
- Fixed Point Results for p-Convex Subsets in Quasi-Normed Spaces and Applications
- Indefinite Planar Problem with Exponential Critical Growth
- On the Numerical Range of Operators on some Special Banach Spaces
- On Rockafellar's Sum Theorem in General Banach Spaces
- On the Square Distance Function from a Manifold with Boundary
- On the Convexity of Level-Sets of Probability Functions
- Boundedness of Critical Points in the Symmetric Mountain Pass Lemma
- On the Equality of Clarke and Greenberg-Pierskalla Differentials
- Analysis of the Implicit Euler Time-Discretization of a Class of Descriptor-Variable Linear Cone Complementarity Systems
- Hyperplane Separation Type Theorems in Hadamard Manifolds
- Parabolic Quasi-Variational Inequalities. I: Semimonotone Operator Approach
- Nodal Solutions for a Weighted (p,q)-Equation
- Epsilon Subdifferential Method and Integrability
- Uniform λ-Property in Orlicz Spaces
- New Jensen-Type Inequalities and their Applications
- Entropic Convex Duality in the Determination of Data-Constrained Kernel-Based Bayes-Jaynes Priors
- Dual Formulations of the Elasticity Problem for a Homogeneous Elastic Body with Fractures
- Dennis-Moré Condition for Set-Valued Vector Fields and the Superlinear Convergence of Broyden Updates in Riemannian Manifolds
- A Topological Generalization of Orthogonality in Banach Spaces and some Applications
- Metrization of Idempotent Convex Compacta
- Best Approximative Properties of Exposed Faces
- On Some Properties of Measurable Functions in Abstract Spaces
- Proscribed Normal Decompositions of Euclidean Jordan Algebras
- Extremal Problems for the Distance Between Elements of Two Sets
- On the Convexity of the Closure of the Domain/Range of a Maximally Monotone Operator
- Residuality Properties of Certain Classes of Convex Functions on Normed Linear Spaces
- Boundedly Polyhedral Sets and F-Simplices
- A Convex Analysis View of the Barrier Problem
- Functions on a Convex Set which are both ω-Semiconvex and ω-Semiconcave
- Finite Convergence of Locally Proper Circumcentered Methods
- Fast Convergence of Generalized Forward-Backward Algorithms for Structured Monotone Inclusions
- Approximation of Spherical Bodies of Constant Width and Reduced Bodies
- Unique Minimizers and the Representation of Convex Envelopes in Locally Convex Vector Spaces
- Periodic Problems for Doubly Nonlinear Evolution Equations
- On Property-(P1) in Banach Spaces
- New Proofs for some Results on Spherically Convex Sets
- Analysis and Numerical Solution of a Modular Convex Nash Equilibrium Problem
- Which Convexity Properties are Preserved under Linear Mappings?
- The Locality Property for Compensated Convex Transforms
- On the Convex Combination of Volterra Operators
- Existence of Positive Solutions for a Critical Nonlocal Elliptic System
- Representations of Multimeasures via the Multivalued Bartle-Dunford-Schwartz Integral
- New Semi-Norm of Semi-Hilbertian Space Operators and its Application
- An Application of the Generalised James' Weak Compactness Theorem II
- S-Convexity: The Variable Radius Case
- A Tight Smooth Approximation of the Maximum Function and its Applications
- Subconvex Functions, Relations and Sets
- Extremal Points of Total Generalized Variation Balls in 1D: Characterization and Applications
Volume 28
- A Majorization Gradient Inequality for Symmetric Convex Functions
- Quantitative Results on the Proximal Point Algorithm in Uniformly Convex Banach Spaces
- A Family of Volterra Cubic Stochastic Operators
- Nondentable Sets in Banach Spaces
- Daugavet- and Delta-Points in Absolute Sums of Banach Spaces
- Conjugate Convex Functions without Infinity
- On Numerical Radius and Crawford Number Attainment Sets of a Bounded Linear Operator
- A Nonlinear φ0-Convexity Result for the Bilateral Minimal Time Function
- Spherically Convex Sets and Spherically Convex Functions
- Strictly Stable Generalized Monotone Maps and Two Versions of Wald's Axiom
- Asymptotic Hyers-Ulam Stability or Superstability by Unilateral Perturbations on the Concavity Side for Generalized Linear Equations
- Versions of the Sard Theorem for Essentially Smooth Lipschitz Maps and Applications in Optimization and Nonsmooth Equations
- Interior Regularity for a Class of Nonlinear Second-Order Elliptic Systems
- Permutation-Invariance in Komlós' Theorem for Hilbert-Space Valued Random Variables
- Hidden Convexity in the l0 Pseudonorm
- Existence of a Solution to a Stationary Quasi-Variational Inequality in a Multi-Connected Domain
- Preconditioned Proximal Point Methods and Notions of Partial Subregularity
- Foreword
- Finite-Time Stabilization of Continuous Inertial Dynamics Combining Dry Friction with Hessian-Driven Damping
- Identification of Linear Dynamical Systems and Machine Learning
- Existence Issues for a Large Class of Degenerate Elliptic Equations with Nonlinear Hamiltonians
- A Nonlinear Mean Value Property for the Monge-Ampère Operator
- Some New Results about Mosco Convergence
- Regularity Results for Two Standard Models in Elasto-Perfect-Plasticity Theory with Hardening
- Shape Optimization Problems for Functionals with a Boundary Integral
- An Extension Result for Generalised Special Functions of Bounded Deformation
- Sharp Trudinger Type Inequalities for Measure-Valued Lagrangeans
- Weak Maximum Principle for Cooperative Systems: the Degenerate Elliptic Case
- M-Convergence of p-Fractional Energies in Irregular Domains
- A Numerical Study of the Jerky Crack Growth in Elastoplastic Materials with Localized Plasticity
- On BV Homeomorphisms
- Duality Arguments for Linear Elasticity Problems with Incompatible Deformation Fields
- Homogenization of Energies Defined on 1-Rectifiable Currents
- From Linear to Convex
- Anisotropy Versus Inhomogeneity in the Calculus of Variations
- On Some Quasi-Variational Inequalities and Other Problems with Moving Sets
- Discrete Approximations and Optimal Control of Nonsmooth Perturbed Sweeping Processes
- Uniqueness and Estimates for a Parabolic Equation with L1 Data
- Homogenization of the Elasticity Problem for a Material with Fractures
- The Column-Row Factorization of a Matrix
- Quantitative Results on the Multi-Parameters Proximal Point Algorithm
- On the Linear Structures Induced by the Four Order Isomorphisms Acting on Cvx0(ℝn)
- On F-Convex Functions
- On Some Nonlinear Parabolic Equations with Nonmonotone Multivalued Terms
- An Application of the Generalised James' Weak Compactness Theorem
- Locally Convex Properties of Baire Type Function Spaces
- An Epigraphical Approach to the Representer Theorem
- Maximum Principle for Abstract Convex Functions
- The Face Generated by a Point, Generalized Affine Constraints, and Quantum Theory
- Convex Bodies with Affinely Equivalent Projections and Affine Bodies of Revolution
- Multimeasures with Values in Conjugate Banach Spaces and the Weak Radon-Nikodým Property
- Second-Order Efficiency Conditions for Vector Equilibrium Problems with Constraints via Contingent Epiderivatives
- Geometric Hardy Inequalities on Starshaped Sets
- Generalizing Multiplicative Convex Functions
- A Sufficient Criterion to Determine Planar Self-Cheeger Sets
- Field Theory for Integrands with Low Regularity
- Superlinear Weighted (p,q)-Equations with Indefinite Potential
- Projecting onto Intersections of Halfspaces and Hyperplanes
- Separating Hyperplanes of Convex Sets
- q-Moment Measures and Applications: a New Approach via Optimal Transport
- Screening Rules and its Complexity for Active Set Identification
- An Eaves Type Theorem for Quadratic Fractional Programming Problems and its Applications
- Structure of Sets of Strong Subdifferentiability in Dual L1-Spaces
- Strong Convergence Theorems under Shrinking Projection Methods for Split Common Fixed Point Problems in Two Banach Spaces
- Optimization of Fitzpatrick Functions and a Numerical Minimization Algorithm
- Existence of Solutions Belonging to a Tube for Non-Convex Sweeping Processes
- Poidge-Convexity
- On the Construction of Maximal p-Cyclically Monotone Operators
- Proximal Determination of Convex Functions
- On k-Strong Convexity in Banach Spaces
- On the Complex Banach Conjecture
- Convex Analysis in Normed Spaces and Metric Projections onto Convex Bodies
- Inner Products for Convex Bodies
- Generous Sets
- Stability of Closedness of Closed Convex Sets under Linear Mappings
Volume 27
- Foreword
- A Few Words about my Trajectory
- Sufficient Condition for Tangential Transversality
- Interval-Decomposability of Continuous Functions, and Convexity
- Lower Bound of the Upper Topological Limit of a Sequence of Subspaces
- Echelons of Sets on Dispersion Gaps: Tools for Cluster Analysis
- Prescribing Tangent Hyperplanes to C1,1 and C1, ω Convex Hypersurfaces in Hilbert and Superreflexive Banach Spaces
- Lipschitz Stability of Extremal Problems with a Strongly Convex Set
- Asymmetry Measures for Convex Distance Functions
- Second-Order Analysis for the Time Crisis Problem
- A Uniform Approach to Hölder Calmness of Subdifferentials
- Higher Order Problems in the Calculus of Variations: Du Bois-Reymond Condition and Regularity of Minimizers
- Ioffe-Type Criteria in Extended Quasi-Metric Spaces
- Existence and Uniqueness of Solutions for an Integral Perturbation of Moreau's Sweeping Process
- Various Lipschitz-Like Properties for Functions and Sets. II: Subdifferential and Normal Characterizations
- On the Homotopical Stability of Isolated Critical Points of Continuous Functions
- Nonlinear Transversality of Collections of Sets: Dual Space Necessary Characterizations
- Non Approximate Derivability of the Takagi Function
- Subdifferentiation of the Infimal Convolution and Minimal Time Problems
- The Chain Rule for VU-Decompositions of Nonsmooth Functions
- Nonlinear Images of Sets. I: Strong and Weak Convexity
- On Characterizations of Metric Regularity of Multi-Valued Maps
- Co-Radiant Set-Valued Mappings
- On Far and Near Ends of Closed and Convex Sets
- Stability Analysis of Partial Differential Set-Valued Variational Inequalities on Banach Spaces
- Regularization for Optimal Control Problems Associated to Nonlinear Evolution Equations
- On Formulae for the Ioffe Geometric Subdifferential of a Supremum Function
- On the Metric Regularity of Affine Optimal Control Problems
- Convex Valued Geodesics and Applications to Sweeping Processes with Bounded Retraction
- Asymptotic Behavior of Continuous Descent Methods with a Convex Objective Function
- Optimality Conditions for Nonconvex Variational Problems with Integral Constraints in Banach Spaces
- Ellipsoidal Cones
- The Split Common Fixed Point Problem by the Hybrid Method for Families of New Demimetric Mappings in Banach Spaces
- Existence and Relaxation of BV Solutions for a Sweeping Process with a Nonconvex-Valued Perturbation
- Compactness of BV Solutions of a Convex Sweeping Process of Measurable Differential Inclusion
- Does Deconvolution Exist?
- On the Differentiability of Saddle and Biconvex Functions and Operators
- No-Gap Second-Order Conditions under n-Polyhedric Constraints and Finitely Many Nonlinear Constraints
- Lipschitz-like Property of Subdifferential Mapping of Convex Continuous Functions on Hilbert Space
- A Partial Condition Number Theorem in Mathematical Programming
- Sets in the Complex Plane Mapped into Convex Ones by Möbius Transformations
- Differentiability of the Argmin Function and a Minimum Principle for Semiconcave Subsolutions
- Existence of Solutions for Sweeping Processes with Local Conditions
- A Varifold Perspective on the p-Elastic Energy of Planar Sets
- Characterization of Approximate Birkhoff-James Orthogonality Sets in a Banach Space
- A Unified Splitting Algorithm for Composite Monotone Inclusions
- The Lipschitz Condition of the Metric Projection in the Pliś Metric
- Describing Multiplicative Convex Functions
- A General Result About Inner Regularization of Sets
- Yosida Approximation Methods for Generalized Equilibrium Problems
- On the Structure Topology on the Set of all Extreme Points of the Closed Unit Ball of the Dual of a Banach Space
- The Plasticity of some Mass Transportation Networks in the Three Dimensional Euclidean Space
- Characterizations of a Slow Growth Assumption in Variational Calculus and Gale-Klee Continuity of Epigraphs
- What is the Best Viscous Approximation to a Rate-Independent Process?
- Convex Extension of Lower Semicontinuous Functions Defined on Normal Hausdorff Space
- Ky-Fan and Sion Theorems for the Lexicographic Order and Applications to Vectorial Games and Min-Max Control Problems
- Opial and Saitoh Type Inequalities on Time Scales
- Barrier Functions in Subdifferential Theory
- On Densely Complete Metric Spaces and Extensions of Uniformly Continuous Functions in ZF
- Nonlinear Images of Sets. II: Applications to Differential Games
- On Moving Chords in Constant Curvature 2-Manifolds
- Multivalued Strong Laws of Large Numbers for Triangular Arrays with Gap Topology
- On the Convergence and Regularity of Aumann-Pettis Integrable Multivalued Martingales
- Convex Envelopes on Trees
- Some Characterizations of the Ellipsoid by Centroids of Concurrent Sections
- Integration of Multifunctions with Closed Convex Values in Arbitrary Banach Spaces
- Non-Occurrence of a Gap Between Bounded and Sobolev Functions for a Class of Nonconvex Lagrangians
- A Riemannian Corollary of Helly's Theorem
- Hausdorff Stability and Error Estimates for Compensated Convexity Based Methods for Approximation and Interpolation for Functions in ℝn
- On the Properties of Convex Functions over Open Sets
- A Strict Mangasarian-Fromovitz Type Condition for Isoperimetric Control Problems
- MVT, Integration, and Monotonicity of a Generalized Subdifferential in Locally Convex Spaces
- Multiplicity of Positive Solutions for an Anisotropic Problem via Sub-Supersolution Method and Mountain Pass Theorem
Volume 26
- On Singular Sets of H-Monotone Maps
- Quadratic Fractional Programming under Asymptotic Analysis
- The Cheeger-N-Problem in Terms of BV-Functions
- Orthogonality in Generalized Minkowski Spaces
- A Necessary and Sufficient Condition on the Stability of the Infimum of Convex Functions
- Optimal Constants in Normed Planes
- Vertices, Edges and Facets of the Unit Ball
- Zero Free Inner Function On Every Single Slice
- Inequalities for Orlicz Mixed Quermassintegrals
- A Guided Tour of Polyhedric Sets: Basic Properties, New Results on Intersections and Applications
- Subgradients of Minimal Time Functions without Calmness
- Strong Convergence Theorems by Hybrid Methods for New Demimetric Mappings in Banach Spaces
- Axial Symmetry Indices for Convex Cones: Axiomatic Formalism and Applications
- On Representing and Hedging Claims for Coherent Risk Measures
- A Note on Quasi-Convex Functions
- Fixed Points of Legendre-Fenchel Type Transforms
- Valadier-like Formulas for the Supremum Function. II: The Compactly Indexed Case
- On Linear Isometries on Strongly Regular Non-Archimedean Köthe Spaces
- On Approximate Birkhoff-James Orthogonality and Normal Cones in a Normed Space
- A Framework for Wasserstein-1-Type Metrics
- A Constant Step Forward-Backward Algorithm Involving Random Maximal Monotone Operators
- On Inequalities for Convex Functions
- On the Approximation of Anisotropic Energy Functionals by Riemannian Energies via Homogenization
- Optimal Velocity Control of a Convective Cahn-Hilliard System with Double Obstacles and Dynamic Boundary Conditions: a 'Deep Quench' Approach
- Smoothness in some Banach Spaces of Operators and Vector Valued Functions
- Fractoconvex Structures
- Characterization of Strong Ball Proximinality in L1-Predual Spaces
- Asymptotic Hyers-Ulam Stability or Superstability for Generalized Linear Equations by Unilateral Perturbations
- K-Midconvex and K-Midconcave Set-Valued Maps Bounded on "Large" Sets
- Ky Fan's Dominance Theorem and Eaton Triple
- A Fenchel-Moreau Theorem for L̄0-Valued Functions
- Uncertainty Relations in Optimization
- Sets with the Unique Footpoint Property and φ-Convex Subsets of Riemannian Manifolds
- Polar Convexity and Critical Points of Polynomials
- The Minimizing Vector Theorem in Symmetrized Max-Plus Algebra
- Convex Decompositions of Convex Open Sets with Polytopes or Finite Sets Removed
- On a Decomposition Formula for the Proximal Operator of the Sum of Two Convex Functions
- Some Strong Laws of Large Numbers for Double Arrays of Random Sets with Gap Topology
- Weak Compactness of Sublevel Sets in Complete Locally Convex Spaces
- Functional Characterizations of Countable Tychonoff Spaces
- Differentiability of Convex Functions on a Locally Convex Topological Vector Space
- The Plasticity of Non-Overlapping Convex Sets in ℝ2
- Near Equality And Almost Convexity Of Functions With Applications To Optimization And Error Bounds
- On some Class of Polytopes in an Idempotent, Symmetrical and Non-Associative Convex Structure
- "On the Figure of Columns" of Lagrange Revisited
- Extreme Contractions on Finite-Dimensional Polygonal Banach Spaces
- A Sandwich Theorem for Generalized Convexity and Applications
- Erratum to: Isoperimetric Inequalities for the Principal Eigenvalue of a Membrane and the Energy of Problems with Robin Boundary Conditions
- The Asymptotic Behaviour of Convex Combinations of Firmly Nonexpansive Mappings
- Existence and Regularity of Optimal Convex Shapes for Functionals Involving the Robin Eigenvalues
- Fenchel-Moreau Conjugation Inequalities with Three Couplings and Application to the Stochastic Bellman Equation
- On the H-Cone-Functions for H-Convex Sets
- A Note on the Approximate Symmetry of Bregman Distances
- On Convexity and ψ-Uniform Convexity of G-Invariant Functions on an Eaton Triple
- Multicones, Duality and Matrix Invariance
- On the Riesz Integral Representation of Additive Set-Valued Maps (II)
- Gradients on Sets
- Convexity of Suns in Tangent Directions
- Symmetries of Convex Sets in the Hyperbolic Plane
- Shortest Paths along a Sequence of Line Segments in Euclidean Spaces
- A Geometric Characterization of Polygonal Radon Planes
- An Abstract Variational Theorem
- Positive Solutions for Nonlinear Robin Problems with Concave Terms
- Asymptotic Behavior of Solutions to a Second-Order Gradient Equation of Pseudo-Convex Type
- Evolution Inclusion on a Real Hilbert Space with Quasi-Variational Structure for Inner Products
- Zero-Scale Asymptotic Functions and Quasiconvex Optimization
- Stability Result for the Extremal Grünbaum Distance Between Convex Bodies
- Convex Bodies Associated to Tensor Norms
- Convexity of the Distance Function to Convex Subsets of Riemannian Manifolds
- Metrizable Bounded Sets in C(X) Spaces and Distinguished Cp(X) Spaces
- Examples of Nondistinguished Function Spaces Cp(X)
- Starshaped and Convex Sets in Carnot Groups and in the Geometries of Vector Fields
- Local Properties of the Surface Measure of Convex Bodies
Volume 25
- Regularization via Sets Satisfying the Interior Sphere Condition
- On a Cosine Function Defined for Smooth Normed Spaces
- Operator Systems and Convex Sets with Many Normal Cones
- A Bohr Mollerup Theorem for Interpolating the Triangular Numbers
- Vector Measures with Values in ℓ∞(Γ) and Interpolation of Banach Lattices
- On the Monotonicity of Perimeter of Convex Bodies
- The Typical Irregularity of Virtual Convex Bodies
- Variational Analysis of Spectral Functions Simplified
- Optimal Transportation with Boundary Costs and Summability Estimates on the Transport Density
- Convex Integral Functionals of Processes of Bounded Variation
- On Countable Tightness and the Lindelöf Property in Non-Archimedean Banach Spaces
- Chance-Constrained Convex Mixed-Integer Optimization and Beyond: Two Sampling Algorithms within S-optimization
- Some Remarks on the (Non-) Attainment of the Boundary Data for Variational Problems in the Space BV
- Minimax Representation of Nonexpansive Functions and Application to Zero-Sum Recursive Games
- On Semiconcavity via the Second Difference
- Second Order Asymptotic Functions and Applications to Quadratic Programming
- Convex Optimization of Second Order Discrete and Differential Inclusions with Inequality Constraints
- Optimisation of the Lowest Robin Eigenvalue in the Exterior of a Compact Set
- Preface
- Newton-Type Method for Solving Generalized Equations on Riemannian Manifolds
- A Forward-Backward-Forward Differential Equation and its Asymptotic Properties
- On Minimax Theorems for Lower Semicontinuous Functions in Hilbert Spaces
- Duality and Optimality Conditions in Stochastic Optimization and Mathematical Finance
- Two Positive Solutions for Superlinear Neumann Problems with a Complete Sturm-Liouville Operator
- Segmentation and Inpainting of Color Images
- Kantorovich-Type Theorems for Generalized Equations
- A Convex Optimization Model for Business Management
- Generalized Variational Inequality and General Equilibrium Problem
- Radial Solutions and Free Boundary of the Elastic-Plastic Torsion Problem
- Identification in Variational and Quasi-Variational Inequalities
- Metric Regularity, Polyhedrality and Complementarity
- Semismooth Implicit Functions
- Minimization of Quadratic Functions on Convex Sets without Asymptotes
- Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming
- New Challenges on the Regularity of Minimizers of Functionals
- Bootstrapping the Mazur-Orlicz-König Theorem and the Hahn-Banach Lagrange Theorem
- Fixed Point Iterative Schemes for Variational Inequality Problems
- Inverse Problem in Convex Optimization with Linear Homogeneous Constraints
- Normal Regularity of Weakly Convex Sets in Asymmetric Normed Spaces
- An Evolutionary Structure of Convex Quadrilaterals. Part III
- Schur-Convexity of a General Closed Four-Point Quadrature Formula
- Alexandrov Curvature of Convex Hypersurfaces in Hilbert Space Forms
- Conglomerability and Representations
- Diametral Diameter Two Properties in Banach Spaces
- Complete Convergence and Strong Laws of Large Numbers for Double Arrays of Convex Compact Integrable Random Sets and Applications for Random Fuzzy Variables
- Elliptic-Regularization of Nonpotential Perturbations of Doubly-Nonlinear Flows of Nonconvex Energies: A Variational Approach
- On Super Weak Compactness of Subsets and its Equivalences in Banach Spaces
- Directional Convexity and Characterizations of Beta and Gamma Functions
- Randomized Versions of the Mazur Lemma and the Krein–Šmulian Theorem
- Topological Derivative: a Semidifferential via the Minkowski Content
- Measuring Axial Symmetry in Convex Cones
- Property (α) on Locally Convex Spaces
- The Farthest and the Nearest Points of Sets
- Separation Problems in the Context of h-Convexity
- Dentable Point and Ball-Covering Property in Banach Spaces
- A New Class of Sets Regularity
- Quasi-Newton Methods for Solving Nonsmooth Equations: Generalized Dennis-Moré Theorem and Broyden's Update
- Quasi-Nonexpansive Mappings Involving Pseudomonotone Bifunctions on Convex Sets
- The Dual Gap Function and Error Bounds for Strongly Monotone Variational Inequalities
- Some Geometric and Proximinality Properties in Banach Spaces
- Tight SDP Relaxations for a Class of Robust SOS-Convex Polynomial Programs without the Slater Condition
- Asymptotic Planes and Closedness Conditions for Linear Images and Vector Sums of Sets
- A Convex Decomposition Formula for the Mumford-Shah Functional in Dimension One
- Uniform Rotundity with Respect to Finite-Dimensional Subspaces
- Valadier-like Formulas for the Supremum Function I
- New Multirectional Mean Value Inequality
- On Proximal Mappings with Young Functions in Uniformly Convex Banach Spaces
- Reduced and Minimally Convex Pairs of Sets
- Conic James' Compactness Theorem
- Midsets and Voronoi Type Decomposition with Respect to Closed Convex Sets
- Generalized Takagi-Van der Waerden Functions and their Subdifferentials
- Fréchet Barycenters in the Monge-Kantorovich Spaces
Volume 24
- Quasistatic Viscoplasticity with Polynomial Growth Condition and with Frictional Contact
- On the Maximal Extensions of Monotone Operators and Criteria for Maximality
- A Best Proximity Point Theorem Using Discontinuous Functions
- An Existence Result for Quasi-Equilibrium Problems
- A Universal Bound on the Variations of Bounded Convex Functions
- Convexity with Respect to Beckenbach Families
- Magic Mirrors, Dense Diameters, Baire Category
- On Fixed Point Properties of a Convex Combination of Metric Projections
- Reverse Cheeger Inequality for Planar Convex Sets
- On Legendre and Weierstrass Conditions in One-Dimensional Variational Problems
- Regular Self-Proximal Distances are Bregman
- Pseudo-Jacobian and Characterization of Monotone Vector Fields on Riemannian Manifolds
- Archimedean Cones in Vector Spaces
- A Generalized Fermat-Torricelli Tree in the Three Dimensional Euclidean Space
- Defining a Unique Median via Minimizing Families of Norms
- Convergence of Weighted Sums and Strong Law of Large Numbers for Convex Compact Integrable Random Sets and Fuzzy Random Sets
- On Holditch's Theorem and Holditch Curves
- Positive, Extremal and Nodal Solutions for Nonlinear Parametric Problems
- Calculation of Subdifferentials for the Difference of Two Convex Functions
- A Note on n-Subhomogeneity of Periodic Extension of Convex Functions
- Convex Integration and Legendrian Approximation of Curves
- On the Rockafellar Function Associated to a Cyclically Monotone Mapping
- A Note on the Extension of Continuous Convex Functions from Subspaces
- On Approximate Hermite-Hadamard Type Inequalities
- New Variational Principles of Symmetric Boundary Value Problems
- On the Characterization of Locally L0-Convex Topologies Induced by a Family of L0-Seminorms
- Ekeland's Variational Principle for Vector Optimization with Variable Ordering Structure
- Directional Hölder Metric Subregularity and Application to Tangent Cones
- Lower Semicontinuity in SBV for Functionals with Nearly Linear Growth
- Computations of Quasiconvex Hulls of Isotropic Sets
- About the Gradient Projection Algorithm for a Strongly Convex Function and a Proximally Smooth Set
- A Note on an Alternative Iterative Method for Nonexpansive Mappings
- 𝔹-1-Convex Functions
- On Gauge Functions for Convex Cones with Possibly Empty Interiors
- The Monotonicity of Perturbed Gradients of Convex Functions
- Renormalized Energy and Peach-Köhler Forces for Screw Dislocations with Antiplane Shear
- On Topological Properties of the Weak Topology of a Banach Space
- Hahn-Banach Theorem and Duality Theory on non-Archimedean Locally Convex Spaces
- An Exact Fatou's Lemma for Gelfand Integrals by Means of Young Measure Theory
- Convex Surfaces with Planar Polar Sets and Point-Source Shadow-Boundaries
- Clarke and Limiting Subdifferentials of Integral Functionals
- A Note on the Paper "Proximal Point Methods for Quasiconvex and Convex Functions with Bregman Distances on Hadamard Manifolds"
- Convex Bodies with Many Elliptic Sections
- Minimal Representation in a Quotient Space over a Lattice of Unbounded Closed Convex Sets
- Reinventing Weak Barrelledness
- The Mazur-Orlicz Theorem for Convex Functionals
- Asymmetric, Noncoercive, Superlinear (p,2)-Equations
- Ellipsoidal Cones in Normed Vector Spaces
- Borell's Generalized Prékopa-Leindler Inequality: A Simple Proof
- Thin Elastic Plates Supported over Small Areas. II: Variational-Asymptotic Models
- Quantitative Borell-Brascamp-Lieb Inequalities for Power Concave Functions
- (Quasi)additivity Properties of the Legendre-Fenchel Transform and its Inverse, with Applications in Probability
- The Accessibility of Convex Bodies and Derandomization of the Hit and Run Algorithm
- On Rectangular Constant in Normed Linear Spaces
- Polynomial Inequalities on the π/4-Circle Sector
- Coproximinality in Spaces of Bochner Integrable Functions
- Best Approximative Properties of Exposed Faces of C(Q)
- Diameter of Weak Neighborhoods and the Radon-Nikodým Property in Orlicz-Lorentz Spaces
- Convex Compact Sets that Admit a Lower Semicontinuous Strictly Convex Function
- Hamel Bases, Convexity and Analytic Sets in Fréchet Spaces
- The Split Common Fixed Point Problem and the Shrinking Projection Method in Banach Spaces
- Variational Analysis for the Bilateral Minimal Time Function
- Weighted TV Minimization and Applications to Vortex Density Models
- Cauchy Metrizability of Bornological Universes
- Improving Bounds for the Perel'man-Pukhov Quotient for Inner and Outer Radii
- Parametric Semidifferentiability of Minimax of Lagrangians: Averaged Adjoint Approach
- Separation Properties in some Idempotent and Symmetrical Convex Structure
- Stability of E-optimal Points for Sequences of Functions
- Existence of Solutions for a Nonlocal Variational Problem in ℝ2 with Exponential Critical Growth
- Laminates Supported on Cubes
- Concavifying the Quasiconcave
- Uniform Strong Proximinality and Continuity of Metric Projection
- Asymptotic Smoothness, Convex Envelopes and Polynomial Norms
- A Monotone Hull Operation for Maps
- Maximal Monotonicity of the Subdifferential of a Convex Function: a Direct Proof
- Hypomonotonicity of the Normal Cone and Proximal Smoothness
- On Weakly Sequentially Complete Banach Spaces
- Strong Convergence Theorems for an Infinite Family of Demimetric Mappings in a Hilbert Space
- Representation of Convex Operators and their Static and Dynamic Sandwich Extensions
Volume 23
- Foreword to Volume 23 (2016)
- Jean Jacques Moreau. A Selected Review of his Mathematical Works
- Implicit Euler Time-Discretization of a Class of Lagrangian Systems with Set-Valued Robust Controller
- A Variational Principle for Gradient Flows of Nonconvex Energies
- A D.C. Algorithm via Convex Analysis Approach for Solving a Location Problem Involving Sets
- Γ-Limits of Functionals Determined by their Infima
- A Dynamic Approach to a Proximal-Newton Method for Monotone Inclusions in Hilbert Spaces, with Complexity 𝒪(1/n2)
- A Survey on Galois Stratifications and Measures of Viability Risk
- Intersection of a Set with a Hyperplane
- Proximal Point Algorithm, Douglas-Rachford Algorithm and Alternating Projections: a Case Study
- About Moreau-Yosida Regularization of the Minimal Time Crisis Problem
- Normality of Generalized Euler-Lagrange Conditions for State Constrained Optimal Control Problems
- Some Remarks on Convex Analysis in Topological Groups
- Lower Limits of Type (D) Monotone Operators in General Banach Spaces
- Thin Elastic Plates Supported over Small Areas. I: Korn's Inequalities and Boundary Layers
- A Skorokhod Problem Governed by a Closed Convex Moving Set
- How the Augmented Lagrangian Algorithm Can Deal with an Infeasible Convex Quadratic Optimization Problem
- Coderivative Characterizations of Maximal Monotonicity for Set-Valued Mappings
- Solving Composite Monotone Inclusions in Reflexive Banach Spaces by Constructing Best Bregman Approximations from Their Kuhn-Tucker Set
- Integration of Nonconvex Epi-Pointed Functions in Locally Convex Spaces
- Splitting Forward-Backward Penalty Scheme for Constrained Variational Problems
- Measure Sweeping Processes
- Polarities and Generalized Extremal Convolutions
- Zero Duality Gap and Attainment with Possibly Non-Convex Data
- Separable Reductions and Rich Families in the Theory of Fréchet Subdifferentials
- The Originality of Peano's 1886 Existence Theorem on Scalar Differential Equations
- Henig Approximate Proper Efficiency and Optimization Problems with Difference of Vector Mappings
- Thresholds of Prox-Boundedness of PLQ Functions
- Weak Convexity of Functions and the Infimal Convolution
- Bi- and Multifocal Curves and Surfaces for Gauges
- Positively α-Far Sets and Existence Results for Generalized Perturbed Sweeping Processes
- Regularity of Collections of Sets and Convergence of Inexact Alternating Projections
- Multibody Dynamics with Unilateral Constraints and Dry Friction: How the Contact Dynamics Approach May Handle Coulomb's Law Indeterminacies?
- Most Convex Functions Have Unique Minimizers
- Integral Inequalities for Infimal Convolution and Hamilton-Jacobi Equations
- Sweeping Processes and Rate Independence
- On Measures of Size for Convex Cones
- Properties of Completely Monotone and Bernstein Functions Related to the Shape of Their Measures
- "Densities" and Maximal Monotonicity
- Moreau Sweeping Process with Bounded Truncated Retraction
- Control Sweeping Processes
- Quantiles and Convexity
- Series of Convex Functions: Subdifferential, Conjugate and Applications to Entropy Minimization
- Spaces of d.c. Mappings on Arbitrary Intervals
- Locating a Semi-Obnoxious Facility – A Toland-Singer Duality Based Approach
- Finer Properties of Ultramaximally Monotone Operators on Banach Spaces
- Right Triple Convexity
- A Condition Number Theorem in Convex Programming without Uniqueness
Volume 22
- Stability Results of Diameter Two Properties
- The Finsler Metric Obtained as the Γ-limit of a Generalised Manhattan Metric
- Norms with Infinite Values
- Existence of Many Nonradial Positive Solutions of the Hénon Equation in R3
- Weak Convergence Theorems for Semigroups of Not Necessarily Continuous Mappings in Banach Spaces
- Extension of Continuous Convex Functions from Subspaces II
- Uniform Convexity of Paranormed Generalizations of Lp Spaces
- Convex Hypersurfaces with Hyperplanar Intersections of Their Homothetic Copies
- Properties of Hadamard Directional Derivatives: Denjoy-Young-Saks Theorem for Functions on Banach Spaces
- Nash Equilibrium and the Legendre Transform in Optimal Stopping Games with One Dimensional Diffusions
- Partial Hölder Continuity of Minimizers of Functionals Satisfying a General Asymptotic Relatedness Condition
- On Extreme Operators Whose Adjoints Preserve Extreme Points
- Some Remarks on an Idempotent and Non-Associative Convex Structure
- Right Triple Convex Completion
- Concentration Phenomena in the Optimal Design of Thin Rods
- The Flow of a Bingham Fluid under a Pseudo-Monotone Perturbation
- Weak Convexity of Sets and Functions in a Banach Space
- On the Structure of Locally Symmetric Manifolds
- On p-Convex, Proximally Smooth, Quasi-Convex, Strictly Quasi-Convex and Approximately Convex Sets
- On a Nonlocal Multivalued Problem in an Orlicz-Sobolev Space via Krasnoselskii's Genus
- On Duality of Diameter 2 Properties
- Brøndsted-Rockafellar Property of Subdifferentials of Prox-Bounded Functions
- On Subdifferentials of a Minimal Time Function in Hausdorff Topological Vector Spaces at Points Outside the Target Set
- Antidistance and Antiprojection in the Hilbert Space
- A Minmax Theorem for Concave-convex Mappings with no Regularity Assumptions
- Hausdorff Dimension of the Set of Endpoints of Typical Convex Surfaces
- Boundedness Criterions for the Hardy Operator in Weighted Lp(·)(0,l) Space
- On Relations between Non-Archimedean Generalized Power Series Spaces
- On the Equivalence of the Theorems of Helly, Radon, and Carathéodory via Convex Analysis
- Risk Measures, Convexity, and Max-Min Shortfalls
- Isoperimetric Inequalities for the Principal Eigenvalue of a Membrane and the Energy of Problems with Robin Boundary Conditions
- On Three Open Problems Related to Quasi Relative Interior
- Maharam-Types and Lyapunov's Theorem for Vector Measures on Locally Convex Spaces with Control Measures
- Ball Proximinal and Strongly Ball Proximinal Spaces
- Some Aspects of the Representation of c-Monotone Operators by C-Convex Functions
- Regularity Conditions for Strong Duality in Evenly Convex Optimization Problems. An Application to Fenchel Duality
- Non-Archimedean Countably Injective Banach Spaces
- Uniform Rotundity and k-Uniform Rotundity in Musielak-Orlicz-Bochner Function Spaces and Applications
- Monge-Ampère Type Function Splittings
- An Elementary Approach to Linear Programming Duality with Application to Capacity Constrained Transport
- On the Local Minimizers of the Mahler Volume
- A Robust Version of Convex Integral Functionals
- A Sharp Quantitative Estimate for the Perimeters of Convex Sets in the Plane
- A Generalised Korovkin Theorem
- The Degree of Convex Nondensifiability in Banach Spaces
- On Constant Width Sets in Hilbert Spaces and Around
- Erratum. On a Shape Derivative Formula with Respect to Convex Domains
- Characterizing P-spaces X in Terms of Cp(X)
- Strongly Convergent Iterative Methods for Generalized Split Feasibility Problems in Hilbert Spaces
- Continuity and Selections of the Intersection Operator Applied to Nonconvex Sets
- On a Generalized Baillon-Haddad Theorem for Convex Functions on Hilbert Space
- Differentiability of the Metric Projection onto a Convex Set with Singular Boundary Points
- Generalized SOS-Convexity and Strong Duality with SDP Dual Programs in Polynomial Optimization
- Rotund Renormings in Spaces of Bochner Integrable Functions
- Quasi-Metrizability of Bornological Biuniverses in ZF
- Bundle Method for Nonconvex Nonsmooth Constrained Optimization
- A Creation Principle of some Fish Type Skeletons in the Sense of Leibniz
- Critical Points on Closed Convex Sets vs. Critical Points and Applications
- Brunn-Minkowski Inequality for the 1-Riesz Capacity and Level Set Convexity for the 1/2-Laplacian
- Optimal Control of a Cahn-Hilliard-Navier-Stokes Model with State Constraints
- Second Order Asymptotic Analysis: Basic Theory
- Global Approximation of Convex Functions by Differentiable Convex Functions on Banach Spaces
- A Note on the Stability of the Cheeger Constant of N-gons
- Strictly Convex Space: Strong Orthogonality and Conjugate Diameters
Volume 21
- Conic Separation of Finite Sets. I: The homogeneous case
- L-Convexity and Lattice-Valued Capacities
- Constant Sign and Sign-Changing Solutions for Quasilinear Elliptic Equations with Neumann Boundary Condition
- On a Shape Derivative Formula with Respect to Convex Domains
- Convexities on Ordered Structures Have Their Krein-Milman Theorem
- Comparing BV Solutions of Rate Independent Processes
- λ-Points in Orlicz Spaces
- On Uniform Nonsquareness and Uniform Normal Structure in Banach Lattices
- Some More Applications of the Hahn-Banach Theorem
- Some Geometric Properties of the Cesàro Function Spaces
- Multivalued Equations on a Bounded Domain via Minimization on Orlicz-Sobolev Spaces
- On Moving Averages
- From the Uniform Approximation of a Solution of the PDE to the L2-Approximation of the Gradient of the Solution
- Right Convexity
- Legendre-Type Integrands and Convex Integral Functions
- Lower Bounds for the Prékopa-Leindler Deficit by Some Distances Modulo Translations
- Relative Chebyshev Centers in L∞(μ,X)
- Existence and Uniqueness of Renormalized Solutions to Some Nonlinear Elliptic Equations with Variable Exponents and Measure Data
- Information Topologies on Non-Commutative State Spaces
- Closedness of the Set of Extreme Points in Calderón-Lozanovskii Spaces
- Mean-Value Inequalities for Convex Functions and the Chebysev-Vietoris Inequality
- Free Convex Sets Defined by Rational Expressions Have LMI Representations
- Differentiability of the "Positive Part" Map
- A Note on Gradient Young Measure Relaxation of Dieudonné-Rashevsky Type Control Problems with Integrands f(s, ξ, v)
- Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Orlicz Norm
- On the Monotone Polar and Representable Closures of Monotone Operators
- Calmness of Nonsmooth Constraint Systems: Dual Conditions via Scalarized Exhausters
- Nonlinear Ergodic Theorem for Commutative Families of Positively Homogeneous Nonexpansive Mappings in Banach Spaces and Applications
- Geometric Properties of Maximal Monotone Operators and Convex Functions which May Represent Them
- Separation of B-1-Convex Sets by B-1-Measurable Maps
- Convex Closures, Weak Topologies and Feeble Approach Spaces
- Chebyshev Sets and Ball Operators
- Minimal Systolic Circles
- Approximation by DC Functions and Application to Representation of a Normed Semigroup
- Order Asymptotically Isometric Copies of co in the Subspaces of Order Continuous Elements in Orlicz Spaces
- Turnpike Properties of Approximate Solutions of Nonconcave Discrete-Time Optimal Control Problems
- Gâteaux and Hadamard Differentiability via Directional Differentiability
- Sufficient Conditions for an Existence of a Solution to a Differential Inclusion
- Refinements of the Brunn-Minkowski Inequality
- Supremum Norms for 2-Homogeneous Polynomials on Circle Sectors
- On Quasi-Gamma Functions
- Subdifferential and Properties of Convex Functions with Respect to Vector Fields
- On Completely Continuous Integration Operators of a Vector Measure
- Conic Separation of Finite Sets. II: The Non-Homogeneous Case
- Measures of Weak Noncompactness in Non-Archimedean Banach Spaces
- Gauge Functions for Convex Cones
- Proper Approximate Solutions and ε-Subdifferentials in Vector Optimization: Moreau-Rockafellar Type Theorems
- Tangency, Paratangency and Four-Cones Coincidence Theorem in Carnot Groups
- Parametrically Prox-Regular Functions
- Asymptotic Order of the Parallel Volume Difference in Minkowski Spaces
- Weak Concavity of the Antidistance Function
- Extension of Convex Function
- A Best Proximity Point Theorem for Generalized Weakly Contractive Non Self Mappings
- Characterization of Weakly Efficient Solutions for Nonlinear Multiobjective Programming Problems. Duality
- Multiple Ordered Positive Solutions of an Elliptic Problem Involving the p&q-Laplacian
- Primal Attainment in Convex Infinite Optimization Duality
- Extension of Continuous Convex Functions from Subspaces I
- Expectations of Random Sets in Banach Spaces
- An Intrinsic Notion of Convexity for Minimax
- Choquet Theory for Vector-Valued Functions on a Locally Compact Space
- Second-Order Growth, Tilt Stability, and Metric Regularity of the Subdifferential
- Gelfand Integral of Multifunctions
Volume 20
- Pseudomonotone Diagonal Subdifferential Operators
- The One and Half Ball Property in Spaces of Vector-Valued Functions
- Smooth Selections of Convex-Valued Multifunctions
- Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics
- Euler Characteristic of Epi-Lipschitz Subsets of Riemannian Manifolds
- Weak Convexity of the Distance Function
- The Asymmetric Sandwich Theorem
- Inequalities for Polynomials on the Unit Square via the Krein-Milman Theorem
- Monotone Operators and "Bigger Conjugate" Functions
- Relative Isoperimetric Inequality in the Plane: the Anisotropic Case
- Exponential Convexity Method
- Pointwise Estimates and Monotonicity Formulas without Maximum Principle
- Characterizations of Pointwise Additivity of Subdifferential
- Non-Archimedean Quantitative Grothendieck and Krein's Theorems
- Convex Conjugates of Analytic Functions of Logarithmically Convex Functionals
- Best Constants in Poincaré Inequalities for Convex Domains
- Attractive Point Theorems for Generalized Nonspreading Mappings in Banach Spaces
- Uniformly Metrizable Bornologies
- A Non-Type (D) Linear Isometry
- Convex Radiant Costarshaped Sets and the Least Sublinear Gauge
- Convexity on Complex Hyperbolic Space
- Bartle–Dunford–Schwartz Integral versus Bochner, Pettis and Dunford Integrals
- An Upper Bound for the Convergence of Integral Functionals
- Some Robust Convex Programs without a Duality Gap
- Learning how to Play Nash, Potential Games and Alternating Minimization Method for Structured Nonconvex Problems on Riemannian Manifolds
- Remarks on Diameter 2 Properties
- Santaló Region of a Log-Concave Function
- An Equivalence of Dual Brunn-Minkowski Inequality for Volume Differences
- An Evolutionary Structure of Convex Quadrilaterals. Part II
- Normal Cones and Continuity of Vector-Valued Convex Functions
- On Well Posed Best Approximation Problems for a Nonsymmetric Seminorm
- Strongly Midquasiconvex Functions
- On one Extension of Decomposition Lemma Dealing with Weakly Converging Sequences of Gradients with Application to Nonconvex Variational Problems
- Smallness of Singular Sets of Semiconvex Functions in Separable Banach Spaces
- Strong Factorizations between Couples of Operators on Banach Function Spaces
- A Coarea-Type Formula for the Relaxation of a Generalized Elastica Functional
- Strongly Adequate Functions on Banach Spaces
- A Generalized Sylvester Problem and a Generalized Fermat-Torricelli Problem
- Uniform Convexity of Geodesic Ptolemy Spaces
- Points of Continuity of Quasiconvex Functions on Topological Vector Spaces
- Oscillations and Concentrations in Sequences of Gradients up to the Boundary
- Existence Theorems for Generalized Asymptotically Nonexpansive Mappings in Uniformly Convex Metric Spaces
- Characterization of Uniformly Convex and Smooth Banach Spaces by Using Carleson Measures in Bessel Settings
- Geometric Duality for Convex Vector Optimization Problems
- Approximation of Pettis Integrable Multifunctions with Values in Arbitrary Banach Spaces
- On Support Points and Functionals of Unbounded Convex Sets
- Existence, Uniqueness of Solutions and Stability of Nonsmooth Multivalued Lur'e Dynamical Systems
- Fractional Regularity for Nonlinear Elliptic Problems with Measure Data
- Common Fixed Point Theorems for Monotone Generalized Contractions Satisfying a Contractive Condition of Rational Type in Ordered Metric Spaces
- Separation by Convex Interpolation Families
- On a Nonlinear Elliptic Transmission Problem with Critical Growth
- On the Moduli and Characteristic of Monotonicity in Orlicz-Lorentz Function Spaces
- SLLN for Double Array of Mixing Dependence Random Sets and Fuzzy Random Sets in a Separable Banach Space
- Domination and Factorization of Multilinear Operators
- A Generalization of Blaschke's Convergence Theorem in Metric Spaces
- A Generalization of the Euclidean Angle
- An Evolutionary Structure of Convex Pentagons on a C2 Complete Surface and a Creation Principle of some Weighted Dendrites of Order Three
- Existence and Multiplicity of Periodic Solutions for Second Order Hamiltonian Systems Depending on a Parameter
- Proximal Subdifferential of the Bilateral Minimal Time Function and some Regularity Applications
- On the Continuity and Regularity of Convex Extensions
- Global Inversion of Nonsmooth Mappings on Finsler Manifolds
- Inward Pointing Trajectories, Normality of the Maximum Principle and the Non Occurrence of the Lavrentieff Phenomenon in Optimal Control under State Constraints
- Two Characterizations of Ellipsoidal Cones
- Two Conditions for a Function to be Convex
Volume 19
- Epigraphical Cones II
- Generic Fréchet Differentiability on Asplund Spaces via A.E. Strict Differentiability on Many Lines
- Local Boundedness Properties for Generalized Monotone Operators
- Differentiabilty and Partial Hölder Continuity of Solutions of Nonlinear Elliptic Systems
- A Note on Extended Characterization of Generalized Trade-Off Directions in Multiobjective Optimization
- A Characterization of the Solution Set of Pseudoconvex Extremum Problems
- A Note on Some Extensions of Monotone Operators to the Bidual
- Strong Laws of Large Numbers for Double Arrays of Independent Set-Valued Random Variables in Banach Spaces
- Rectifiability of Special Singularities of Non-Lipschitz Functions
- On Pliś Metric on the Space of Strictly Convex Compacta
- A Differential Characterisation of the Minimax Inequality
- On Approximation by Δ-Convex Polyhedron Support Functions and the Dual of cc(X) and wcc(X)
- Midpoint Locally Uniform Rotundity of Musielak-Orlicz-Bochner Function Spaces Endowed with the Luxemburg Norm
- A Relaxation Result for Non-Convex and Non-Coercive Simple Integrals
- Finitely Well-Positioned Sets
- A General Lower Bound for the Relaxation of an Optimal Design Problem with a General Quadratic Cost Functional, and a General Linear State Equation
- A Maximal Monotone Operator of Type (D) for which Maximal Monotone Extension to the Bidual is Not of Type (D)
- Generalized Steffensen Inequalities and Their Optimal Constants
- A Note on Touching Cones and Faces
- Notes on Extended Real- and Set-Valued Functions
- Large Curvature on Typical Convex Surfaces
- Lineability Issues Involving Vector-Valued Measurable and Integrable Functions
- Characterization of the Multiscale Limit Associated with Bounded Sequences in BV
- On Linear Isometries on Non-Archimedean Power Series Spaces
- Remarks on the Γ–regularization of Non-convex and Non-semi-continuous Functions on Topological Vector Spaces
- Lexicographical Representation of Convex Sets
- Applications of Convex Analysis to the Smallest Intersecting Ball Problem
- Confexifying the Counting Function on ℝp for Convexifying the Rank Function on ℳm,n(ℝ)
- A Multiplier Rule for Stable Problems in Vector Optimization
- c Horizontal Convexity on Carnot Groups
- A Short Derivation of the Conjugate of a Supremum Function
- A New Qualification Condition for the Maximality of the Sum of Maximal Monotone Operators in General Banach Spaces
- Convex Solids with Hyperplanar Shadow-Boundaries
- A Duality Principle for the Legendre Transform
- Geometric Conditions for Regularity in a Time-Minimum Problem with Constant Dynamics
- On Some Properties of Pettis Integrable Multifunctions
- M-Structures in Vector-Valued Polynomial Spaces
- Approaching the Maximal Monotonicity of Bifunctions via Representative Functions
- Optimal Sets for a Class of Minimization Problems with Convex Constraints
- Relaxation and 3d-2d Passage Theorems in Hyperelasticity
- Existence Results for a Non Coercive Homogeneous Nonlinear Elliptic Equation
- Duality of Non-Exposed Faces
- Convex Integrals on Sobolev Spaces
- Fixed Point Theorems for Monotone Generalized Contractions in Partially Ordered Metric Spaces and Applications to Integral Equations
- Approximation of Bodies of Constant Width and Reduced Bodies in a Normed Plane
- The Daugavet Property and Weak Neighborhoods in Banach Lattices
- Well-Posed Optimization Problems and Related Topics. Introduction to the Special Issue
- Regularity Modulus of Intersection Mappings. Application to the Stability of Equations via Splitting into Inequalities
- On the Stability of the Optimal Value and the Optimal Set in Optimization Problems
- Lyusternik-Graves Theorem and Fixed Points II
- Parametric Stability of Solutions in Models of Economic Equilibrium
- Semi-Infinite Programming: Strong Stability implies EMFCQ
- Piecewise Smooth Lyapunov Function for a Nonlinear Dynamical System
- On Stability of Solutions to Systems of Convex Inequalities
- Perturbation Method for Variational Problems
- From Convergence Principles to Stability and Optimality Conditions
- On the Small-time Local Controllability
- Stability in Regularized Quasi-Variational Settings
- Differential Variational Inequalities with Locally Prox-Regular Sets
- Céa-Falk's Error Estimate for Strongly Monotone Variational Inequalities of the Second Kind
- Best Approximation Problems in Compactly Uniformly Rotund Spaces
- Inexact and Accelerated Proximal Point Algorithms
Volume 18
- Neighbourhood Retractions of Nonconvex Sets in a Hilbert Space via Sublinear Functionals
- On the Characterization of a Class of Laminates for 2 × 2 Symmetric Gradients
- A Representation of G-invariant norms for Eaton Triple
- Calderón-Zygmund Estimates for Systems of φ-Growth
- Higher Order Strong Convexity and Global Strict Minimizers in Multiobjective Optimization
- The Fitzpatrick Function - a Bridge between Convex Analysis and Multivalued Stochastic Differential Equations
- A Weighted Steiner Minimal Tree for Convex Quadrilaterals on the Two-Dimensional K-Plane
- Continuum Limit of a Double-Chain Model for Multiload Shape Optimization
- Higher Integrability for Solutions to Variational Problems with Fast Growth
- Second-Order Asymptotic Directions of Unbounded Sets with Application to Optimization
- A Remark on the Structure of the Busemann Representative of a Polyconvex Function
- On the Surjectivity Properties of Perturbations of Maximal Monotone Operators in Non-Reflexive Banach Spaces
- Banach SSD Spaces and Classes of Monotone Sets
- An Abstract Convex Representation of Maximal Abstract Monotone Operators
- Existence of an Absolute Minimizer via Perron's Method
- On the Strong Law of Large Numbers in Spaces of Compact Sets
- Tangency vis-à-vis Differentiability by Peano, Severi and Guareschi
- Type One Functions and Voronoï's Theorem
- Ball Proximinal Spaces
- Legendre-Fenchel Transform of the Spectral Exponent of Analytic Functions of Weighted Composition Operators
- Smooth Points in Marcinkiewicz Function Spaces
- Semiconcave Functions with Power Moduli
- A Note in Approximative Compactness and Continuity of Metric Projections in Banach Spaces
- Variational Principles in L∞ with Applications to Antiplane Shear and Plane Stress Plasticity
- A Remark on a Free Interface Problem with Volume Constraint
- Convex Sets and Minimal Sublinear Functions
- Asplund Sets and Metrizability for the Polynomial Topology
- On Approximately h-Convex Functions
- Nondecreasing Solutions of a Quadratic Integral Equation of Urysohn Type on Unbounded Interval
- Alternative Iterative Methods for Nonexpansive Mappings, Rates of Convergence and Applications
- On the Maximal Monotonicity of Diagonal Subdifferential Operators
- Only Solid Spheres Admit a False Axis of Revolution
- Slices in the Unit Ball of the Symmetric Tensor Product of a Banach Space
- A Characteristic Intersection Property of Generalized Simplices
- On Surjectivity Results for Maximal Monotone Operators of Type (D)
- Fixed Points of Generalized Conjugations
- Validity of the Union of Uniform Closed Balls Conjecture
- On the Cutting Plane Property and the Bregman Proximal Point Algorithm
- An affirmative answer to a problem posed by Zălinescu
- On Multiple Solutions for Multivalued Elliptic Equations under Navier Boundary Conditions
- Guarding a Line Segment
- On a Multivalued Iterative Equation of Order n
- On the Infimum of a Quasiconvex Function over an Intersection. Application to the Distance Function
- Subdifferential Analysis of the Van der Waerden Function
- About the Existence of an Isotone Retraction onto a Convex Cone
- On Evenly Convex Functions
- The Demyanov Metric for Convex, Bounded Sets and Existence of Lipschitzian Selectors
- Characterization of Weakly Efficient Solutions for Non-Regular Multiobjective Programming Problems with Inequality-Type Constraints
- Pettis Integrability of Multifunctions with Values in Arbitrary Banach Spaces
- Local U-Convexity
- Convexity, Local Simplicity, and Reduced Boundaries of Sets
- An Evolutionary Structure of Pyramids in the Three-Dimensional Euclidean Space
- Continuous Selections, Free Vector Lattices and Formal Minkowski Differences
- Moderation of Convex Bodies
- The Gelfand Integral for Multi-Valued Functions
- Corrigendum to "Optimality Conditions Using Approximations for Nonsmooth Vector Optimization Problems under General Inequality Constraints"
- Locally Convex Quotient Cones
- Subgradients of Minimal Time Functions Under Minimal Requirements
- About the Regularity of Average Distance Minimizers in ℝ2
- The Role of Local Convexity in Lipschitz Maps
- A Universal Compactification of Topological Positively Convex Sets
- Symmetry in Multi-Phase Overdetermined Problems
- Comparing Various Methods of Resolving Differential Inclusions
- Contingent Epiderivatives of Functions on Time Scales
- The Biduality Problem and M-Ideals in Weighted Spaces of Holomorphic Functions
- Generalized Monotone Operators, Generalized Convex Functions and Closed Countable Sets
- An Homogenization Result in W1,p × Lq
- Stationary Stochastic Processes are Mixing of Ergodic Ones: Contingency
- An Integro-Extremization Approach for Non Coercive and Evolution Hamilton-Jacobi Equations
- Epigraphical Cones I
Volume 17
- On Local Milman's Moduli
- On the Study of Quasipolyhedral Convex Functions
- Functional Inequalities Derived from the Brunn–Minkowski Inequalities for Quermassintegrals
- The Topological Frame of a Reflexive Result
- Normality and Quasiconvex Integrands
- Quasiconvexity and Uniqueness of Stationary Points on a Space of Measure Preserving Maps
- Non Maximal Cyclically Monotone Graphs and Construction of a Bipotential for the Coulomb's Dry Friction Law
- On the Continuous Representation of Quasiconcave Functions by Their Upper Level Sets
- Invertibility of Order-Reversing Transforms on Convex Functions
- Points of Upper Local Uniform Monotonicity in Calderón-Lozanovskii Spaces
- Dual Variational Formulations for a Non-Linear Model of Plates
- On the Lower Bounds of Kottman Constants in Orlicz Function Spaces
- The Intersection Property in the Family of Compact Convex Sets
- First General Lower Semicontinuity and Relaxation Results for Strong Materials
- A Calculus of Prox-Reguarity
- A Mathematical Programming Approach to Strong Separation in Normed Spaces
- Measurability and Selections of Multi-Functions in Banach Spaces
- Estimates on the Derivative of a Polynomial with a Curved Majorant Using Convex Techniques
- Asymptotically Bounded Multifunctions and the MCP beyond Copositivity
- Intersections of Balls and the Ball Hull Mapping
- A Characterization of Injective Linear Transformations
- Lagrange Multipliers and Lower Bounds for Integral Functionals
- Non-Enlargeable Operators and Self-Cancelling Operators
- Convex Minimization Problems with Weak Constraint Qualifications
- A Unified Construction Yielding Precisely Hilbert and James Sequences Spaces
- An Ill Posed Problem in SBV02(Ω)
- Properties of the Convex Cone of Vectors with Autocorrelated Components
- Explicit Constructive Approximation to Symmetrization Via Iterated Polarizations
- On Existence and Asymptotic Stability of Solutions of a Functional-Integral Equation of Fractional Order
- On Extensions of D. C. Functions and Convex Functions
- On Moduli of Smoothness and Squareness
- Differential Inclusions with Proximal Normal Cones in Banach Spaces
- On Malamud Majorization and the Extreme Points of its Level Sets
- Homogenization of Non-Linear Functionals with Laminate-Type Growth
- Maximality is Nothing But Continuity
- LMI Representations of the Convex Hulls of Quadratic Basic Semialgebraic Sets
- Maximal Monotonicity, Conjugation and the Duality Product in Non-Reflexive Banach Spaces
- When are Extreme Points Enough?
- Some Explicit Examples of Minimizers for the Irrigation Problem
- Fixed Point Theorems for Mappings Satisfying a Condition of Integral Type in Partially Ordered Sets
- Verification Theorem and Construction of ε-Optimal Controls for Control of Abstract Evolution Equations
- Chakerian-Klamkin Type Theorems
- On Maximal Domains for C-Convex Functions and Convex Extensions
- On Closed Starshaped Sets
- Necessary Conditions for Local Optimality in Difference-of-Convex Programming
- To Whom I am Greatly Indebted...
- Convergence to the Optimal Value for Barrier Methods Combined with Hessian Riemannian Gradient Flows and Generalized Proximal Algorithms
- A Proximal Extension of the Column Generation Method to Nonconvex Conic Optimization Providing Bounds for the Duality Gap
- Infimal Convolutions and Lipschitzian Properties of Subdifferentials for Prox-Regular Functions in Hilbert Spaces
- On some Curvature-Dependent Steplength for the Gradient Method
- The Baillon-Haddad Theorem Revisited
- On Minimizing Quadratically Constrained Ratio of Two Quadratic Functions
- Topologies Associated with Kuratowski-Painlevé Convergence of Closed Sets
- Abstract Results on the Finite Extinction Time Property: Application to a Singular Parabolic Equation
- A New Relaxation Method for a Discrete Image Restoration Problem
- Second-Order Analysis of Optimal Control Problems with Control and Initial-Final State Constraints
- Fréchet-Legendre Functions and Reflexive Banach Spaces
- The Monge-Kantorovich Problem for Distributions and Applications
- Hidden Convexity in some Nonlinear PDEs from Geomety and Physics
- Existence and Uniqueness of Solutions for Non-Autonomous Complementarity Dynamical Systems
- A Strong Convergence Theorem for Resolvents of Monotone Operators
- On Pontryagin's Principle for the Optimal Control of some State Equations with Memory
- Typical Convexity (Concavity) of Dini-Hadamard Upper (Lower) Directional Derivatives of Functions on Separable Banach Spaces
- Distances between Closed Convex Cones: Old and New Results
- A Formula for the Set of Optimal Solutions of a Relaxed Minimization Problem. Applications to Subdifferential Calculus
- On Gossez Type (D) Maximal Monotone Operators
- Upper and Lower Bounds for Poincaré-type Constants in BH
- Evolution Equations for Maximal Monotone Operators: Asymptotic Analysis in Continuous and Discrete Time
Volume 16
- Locally Convex Lattice Cones
- Convexity on Abelian Groups
- Proximal Point Methods for Quasiconvex and Convex Functions with Bregman Distances on Hadamard Manifolds
- The Discrete Brezis-Ekeland Principle
- Quasistatic Evolution Problems for Nonhomogeneous Elastic Plastic Materials
- Transport Distances and Irrigation Models
- Weakly Convergent Sequence Coefficient in Musielak-Orlicz Sequence Spaces
- A New Proof of the Maximal Monotonicity of Subdifferentials
- Optimality Conditions using Approximations for Nonsmooth Vector Optimization Problems under General Inequality Constraints
- Nondifferentiable Multiplier Rules for Optimization Problems with Equilibrium Constraints
- A Variational Principle in Reflexive Spaces with Kadec-Klee Norm
- Lusin Type Theorem with Convex Integration and Quasiconvex Hulls of Sets
- Semiconvex Functions: Representations as Suprema of Smooth Functions and Extensions
- Existence of Exact Penalty and its Stability for Inequality-Constrained Optimization Problems
- Asymptotic Convergence to the Optimal Value of Diagonal Proximal Iterations in Convex Minimization
- Boundary Regularity for Elliptic Problems with Continuous Coefficients
- The Core of the Infinite Dimensional Generalized Jacobian
- The Cosserat Vector in Membrane Theory: a Variational Approach
- Convex Decompositions
- Subbases for N-ary Convexities
- An Optimal Control Theory Approach to the Blaschke-Lebesgue Theorem
- Maximal Monotone Operators with a Unique Extension to the Bidual
- On Compositions of D.C.Functions and Mappings
- On the Lower Semicontinuous Quasiconvex Envelope for Unbounded Integrands (II): Representation by Generalized Controls
- Convex Solids with Planar Homothetic Sections Through Given Points
- Some Quantitative Interpolation Theorems under Lions-Peetre's Methods
- Proximal Smoothness and the Exterior Sphere Condition
- Peak Set Crossing all the Circles
- Weak and Entropy Solutions to Nonlinear Elliptic Problems with Variable Exponent
- Set-Valued Analysis by Covering
- The Split Common Fixed Point Problem for Directed Operators
- A New Approach to Newton's Aerodynamic Problem
- Cauchy Transforms of Arens Bounded Measures for a Vitushkin Amendment. I
- Morphisms of Normal Decomposition Systems
- Stephen Simons
- Random Products of Quasi-Nonexpansive Mappings in Hilbert Space
- A Proximity Control Algorithm to Minimize Nonsmooth and Nonconvex Semi-Infinite Maximum Eigenvalue Functions
- Construction of Weakly Dense, Norm Divergent Sequences
- Monotone Linear Relations: Maximality and Fitzpatrick Functions
- Operator Topologies and Graph Convergence
- Stability of Closedness of Convex Cones under Linear Mappings
- Differentiability of Conjugate Functions and Perturbed Minimization Principles
- On Two Properties of Enlargements of Maximal Monotone Operators
- Iterative Construction of the Resolvent of a Sum of Maximal Monotone Operators
- When is a Convex Cone the Cone of all the Half-Lines Contained in a Convex Set?
- New Properties of the Variational Sum of Monotone Operators
- Numerical Computation of Fitzpatrick Functions
- Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Relatively Nonexpansive Mappings in Banach Spaces
- An Existence Result for Equilibrium Problems with Some Surjectivity Consequences
- Fubini-Tonelli Theorems on the Basis of Inner and Outer Premeasures
- Qualification-Free Optimality Conditions for Convex Programs with Separable Inequality Constraints
- A Class of Variable Metric Decomposition Methods for Monotone Variational Inclusions
- A New Old Class of Maximal Monotone Operators
- On Maximally q-Positive Sets
- On Existence Theorems for Monotone and Nonmonotone Variational Inequalities
- Necessary Conditions for Nonsmooth Optimization Problems with Operator Constraints in Metric Spaces
- External Analysis of Boundary Points of Convex Sets: Supporting Cones and Drops
- Deville's Master Lemma and Stone's Discreteness in Renorming Theory
- Positive Sets, Conservative Sets and Dissipative Sets
- A Multiplicity Theorem in 𝐑n
- A Version of the Lax-Milgram Theorem for Locally Convex Spaces
- Regular Maximal Monotone Multifunctions and Enlargements
- Strongly-Representable Monotone Operators
- On Two Open Problems in Convex Analysis
Volume 15
- Differentiability of Approximately Convex, Semiconcave and Strongly Paraconvex Functions
- Optimal Shapes in Force Fields
- Continuity Properties of Concave Functions in Potential Theory
- The Weighted Fermat-Torricelli Problem and an "Inverse" Problem
- Necessary and Sufficient Conditions for Farkas' Lemma for Cone Systems and Second-Order Cone Programming Duality
- Calculus Rules for Maximal Monotone Operators in General Banach Spaces
- Existence and Construction of Bipotentials for Graphs of Multivalued Laws
- Singularities for a Class of Non-Convex Sets and Functions, and Viscosity Solutions of some Hamilton-Jacobi Equations
- A Regularity Result for Asymptotically Convex Problems with Lower Order Terms
- Sequential Optimality Conditions in Convex Programming via Perturbation Approach
- Linear Operators on Vector-Valued Function Spaces with Mackey Topologies
- Self-Dual Smoothing of Convex and Saddle Functions
- A Lower Semicontinuity Result in SBD
- Ordered Non-Convex Quasi-Variational Sweeping Processes
- Banach Spaces with an Infinite Number of Smooth Faces in their Unit Ball
- Finitely Dentable Functions, Operators and Sets
- Farkas-Type Results and Duality for DC Programs with Convex Constraints
- Local Strong Convexity and Local Lipschitz Continuity of the Gradient of Convex Functions
- The Role of Perspective Functions in Convexity, Polyconvexity, Rank-One Convexity and Separate Convexity
- Comparing Fenchel-Moreau Conjugates with Level Set Conjugates
- An Application of the Krein-Milman Theorem to Bernstein and Markov Inequalities
- Preservation of the Range of a Vector Measure under Shortenings of the Domain
- Convex Coradiant Sets with a Continuous Concave Cogauge
- A New Proof for Maximal Monotonicity of Subdifferential Operators
- Remarks on Lipschitz Solutions to Measurable Differential Inclusions and an Existence Result for some Nonconvex Variational Problems
- Characterization of Metric Regularity of Subdifferentials
- Some Remarks on Quasiconvexity, Inner Variations, and Optimal Meshes
- Maximal Monotone Operators and Maximal Monotone Functions for Equilibrium Problems
- An Evolutionary Structure of Convex Quadrilaterals
- Well-Posedness of Inverse Variational Inequalities
- Pseudometrizable Bornological Convergence is Attouch-Wets Convergence
- Thomas Lachand-Robert – Memorial Volume
- Quasimonotone Variational Inequalities and Quasiconvex Programming: Qualitative Stability
- A Lower Semicontinuous Regularization for Set-Valued Mappings and its Applications
- Alternating Proximal Algorithms for Weakly Coupled Convex Minimization Problems. Applications to Dynamical Games and PDE's
- The Minimal Gap Between Λ2(Ω) and Λ∞(Ω) in a Class of Convex Domains
- Irreversible Quasistatic Evolutions by Minimizing Movements
- Representation of the Polar Cone of Convex Functions and Applications
- Prox-Regularity of Spectral Functions and Spectral Sets
- Monotonic Analysis over Cones: III
- Some Isoperimetric Inequalities with Application to the Stekloff Problem
- Dynamic Formulation of Optimal Transport Problems
- The p-Laplace Eigenvalue Problem as p Approaches 1 and Cheeger Sets in a Finsler Metric
- Computing Uniform Convex Approximations for Convex Envelopes and Convex Hulls
- Asymptotic Analysis of Periodically Perforated Nonlinear Media Close to the Critical Exponent
- A Variational Model for Linearly Elastic Micropolar Plate-Like Bodies
- Brøndsted-Rockafellar Property and Maximality of Monotone Operators Representable by Convex Functions in Non-Reflexive Banach Spaces
- The Schur Geometrical Convexity of the Extended Mean Values
- Relaxation Results for a Class of Functionals with Linear Growth Defined on Manifold Constrained Mappings
- On Weakly H-Quasiconvex Functions on the Heisenberg Group
- Set-Semidefinite Optimization
- On Semicontinuity of Convex-Valued Multifunctions and Cesari's Property (Q)
- On Generalized Differentials, Viability and Invariance of Differential Inclusions
- A Complete Characterization of the Subdifferential Set of the Supremum of an Arbitrary Family of Convex Functions
- On Conditions for the Minimality of Exhausters
- A Turnpike Result for a Class of Problems of the Calculus of Variations with Extended-Valued Integrands
- Heat Flow for Closed Geodesics on Finsler Manifolds
- Nonlinear Contractive Model Predictive Control via Polytopic Robust Controllable Sets
- An Effective Characterization of Schur-Convex Functions with Applications. Corrigendum
Volume 14
- Convex Bodies with Sheafs of Elliptic Sections II
- Subgradients of Convex Games and Public Good Games
- Minimal Area Tetrahedron Circumscribing a Strictly Convex Body in ℝ3
- G-Majorization Inequalities and Canonical Forms of Matrices
- On a Maximization Problem for the Convex Hull of Connected Systems of Segments
- Relaxation in BV of Integral Functionals Defined on Sobolev Functions with Values in the Unit Sphere
- On the Closedness of the Sum of Closed Convex Cones in Reflexive Banach Spaces
- An Effective Characterization of Schur-Convex Functions with Applications
- Hausdorff Distance and Convex Sets
- On the Lower Bounded Slope Condition
- Basic Properties of Evenly Convex Sets
- On the Directions of Segments and r-Dimensional Balls on a Convex Surface
- Convergence of the Projected Surrogate Constraints Method for the Linear Split Feasibility Problems
- Convex Along Lines Functions and Abstract Convexity. Part I
- Multiscale Homogenization of Convex Functionals with Discontinuous Integrand
- An Explicit Descent Method for Bilevel Convex Optimization
- Generalized Convexity and Separation Theorems
- High Order Smoothness and Asymptotic Structure in Banach Spaces
- Minmax via Differential Inclusion
- Weak and Proper Efficiency in Set-Valued Optimization on Real Linear Spaces
- Positive Sets and Monotone Sets
- Zeros of the Polyconvex Hull of Powers of the Distance and s-Polyconvexity
- Centrally Symmetric Convex Sets
- A Conjecture of De Giorgi on the Square Distance Function
- Convex Cones and Conjugacy for Inequality Control Constraints
- Local Uniform Rotundity in Calderón-Lozanovskii Spaces
- On Moreau-Yosida Approximation and on Stability of Second-Order Subdifferentials of Clarke's Type
- Infinite Dimensional Clarke Generalized Jacobian
- Direction of Movement of the Element of Minimal Norm in a Moving Convex Set
- Differential Inclusions in SBV0(Ω) and Applications to the Calculus of Variations
- Continuity Properties for the Subdifferential and ε-Subdifferential of a Convex Function and its Conjugate
- Principles of Comparison with Distance Functions for Absolute Minimizers
- A Varifolds Representation of the Relaxed Elastica Functional
- Abstract Convexity and Connectedness
- Prox-Regularity and Stability of the Proximal Mapping
- Twisted Convex Hulls in the Heisenberg Group
- On Uniform Rotundity in Every Direction in Calderón-Lozanovskii Sequence Spaces
- On Monge's Problem for Bregman-like Cost Functions
- Parametric Computation of the Legendre-Fenchel Conjugate with Application to the Computation of the Moreau Envelope
- Non-Smooth Analysis in Infinite Dimensional Banach Homogenous Groups
- A Holomorphic Function with Given Almost All Boundary Values on a Domain with Holomorphic Support Function
- Uniqueness and Continuous Dependence on Boundary Data for Integro-Extremal Minimizers of the Functional of the Gradient
- Balanced Complex Polytopes and Related Vector and Matrix Norms
- Affinity and Well-Posedness for Optimal Control Problems in Hilbert Spaces
- A Regularity Result in a Shape Optimization Problem with Perimeter
- Structure of Shape Derivatives Around Irregular Domains and Applications
- Hausdorff Dimension of Cut Loci of Generic Subspaces of Euclidean Spaces
- Two Semiconic Duality Theorems
- A Proximal Method for Maximal Monotone Operators via Discretization of a First Order Dissipative Dynamical System
- On p-Quasiconvex Hulls of Matrix Sets
Volume 13
- Boundary Contact Energies for a Variational Model in Phase Separation
- Local Integration of Prox-Regular Functions in Hilbert Spaces
- Estimates of Quasiconvex Polytopes in the Calculus of Variations
- A Necessary Condition for the Quasiconvexity of Polynomials of Degree Four
- The Bilateral Minimal Time Function
- Periodic Solutions to a Hysteresis Model in Micromagnetics
- Minmax Convex Pairs
- From Linear to Convex Systems: Consistency, Farkas' Lemma and Applications
- Strongly Nonlinear Elliptic Unilateral Problems without Sign Condition and L1 Data
- On the Rate-Independent Limit of Systems with Dry Friction and Small Viscosity
- Convex Bodies with Sheafs of Elliptic Sections
- On Young Measures Controlling Discontinuous Functions
- The Imaginary Colloquium
- Fixed Points in Contractible Spaces and Convex Subsets of Topological Vector Spaces
- Inertia and Reactivity in Decision Making as Cognitive Variational Inequalities
- A Unified Theory for Metric Regularity of Multifunctions
- Perimeter Estimates for Reachable Sets of Control Systems
- Behavioral Economics, Competitive Equilibrium and Multiple Phase Dynamics in an Abstract, Adaptive Society: Remarks in Honor of Jean-Pierre Aubin
- Aubin Criterion for Metric Regularity
- Regularity of Minimizers and of Adjoint States in Optimal Control under State Constraints
- Averaging and Near Viability of Singularly Perturbed Control Systems
- Existence and Relaxation Theorems for Unbounded Differential Inclusions
- Spreading Control Applied to Target Problems
- Vector Quasi-Variational Inequalities: Approximate Solutions and Well-Posedness
- Evolution Problems Associated with Primal Lower Nice Functions
- Tangential Regularity in the Space of Directional-Morphological Transitions
- A Set Evolution Approach to the Control of Uncertain Systems with Discrete-Time Measurement
- Simon Fitzpatrick Memorial Volume
- Variational Methods in Classical Open Mapping Theorems
- Linear Structures in the Set of Norm-Attaining Functionals on a Banach Space
- Fitzpatrick Functions: Inequalities, Examples, and Remarks on a Problem by S. Fitzpatrick
- Characterizations of Prox-Regular Sets in Uniformly Convex Banach Spaces
- Maximal Monotonicity via Convex Analysis
- Boundedness, Differentiability and Extensions of Convex Functions
- On Non-Enlargeable and Fully Enlargeable Monotone Operators
- There are Many Totally Convex Functions
- Approximating Curves for Nonexpansive and Monotone Operators
- On the Variational Behaviour of the Subhessians of the Lasry-Lions Envelope
- Global Maximum of a Convex Function: Necessary and Sufficient Conditions
- ε-Fréchet Differentiability of Lipschitz Functions and Applications
- Weak-Star Convergence of Convex Sets
- Extended Sums and Extended Compositions of Monotone Operators
- The Mazur Intersection Problem
- Differentiability of Lipschitz Functions on a Space with Uniformly Gâteaux Differentiable Norm
- Three Theorems on Subdifferentiation of Convex Integral Functionals
- A Qualification Free Sequential Pshenichnyi-Rockafellar Lemma and Convex Semidefinite Programming
- Helly's Intersection Theorem on Manifolds of Nonpositive Curvature
- Coderivative Calculus and Robust Lipschitzian Stability of Variational Systems
- New Families of Convex Sets Related to Diametral Maximality
- The Fitzpatrick Rate, the Stepanov Rate, the Lipschitz Rate and their Relatives
- Star-Shaped Separability with Applications
- The Fitzpatrick Function and Nonreflexive Spaces
- A New Convexity Property for Monotone Operators
Volume 12
- Inner Estimation of the Eigenvalue Set and Exponential Series Solutions to Differential Inclusions
- Difference Equations on Weighted Graphs
- Global Linear Convergence of an Augmented Lagrangian Algorithm to Solve Convex Quadratic Optimization Problems
- Conjugating the Inverse of a Concave Function
- Relating 𝒰-Lagrangians to Second-Order Epi-Derivatives and Proximal Tracks
- A Bundle Interior Proximal Method for Solving Convex Minimization Problems
- On the Relaxation of a Class of Functionals Defined on Riemannian Distances
- Separability of H-convex Sets
- On Brickman's Theorem
- Γ-Convergence for the Irrigation Problem
- Strong Martingale Type and Uniform Smoothness
- On L1-Lower Semicontinuity in BV
- Geodetically Convex Sets in the Heisenberg Group
- A Comparison Principle and the Lipschitz Continuity for Minimizers
- On the Weak* Convergence of Subdifferentials of Convex Functions
- Homogenization of Changing-Type Evolution Equations
- Γ Convergence of Hausdorff Measures
- Subdifferential Representation of Convex Functions: Refinements and Applications
- Maximum Principle for Vector Valued Minimizers
- A Dual Condition for the Convex Subdifferential Sum Formula with Applications
- Necessary and Sufficient Conditions for Polyconvexity of Isotropic Functions
- Filling the Gap between Lower-C1 and Lower-C2 Functions
- A Turnpike Property for a Class of Variational Problems
- Exceptional Sets in Convex Domains
- Variational formulations on Thin Elastic Plates with Constraints
- Fatou's Lemma for Multifunctions with Unbounded Values in a Dual Space
- Continuity of the Optimal Value Function under some Hyperspace Topologies
- Remarks on Γ-Convergence and the Monge-Kantorovich Mass Transfer Problem
- On Monotone Operators and Forms
- Integrability of Pseudomonotone Differentiable Maps and the Revealed Preference Problem
- Conditional and Relative Weak Compactness in Vector-Valued Function Spaces
- Boundary Behaviour of Equilibria for Linear Exchange Economies
Volume 11
- On Total Convexity, Bregman Projections and Stability in Banach Spaces
- A Duality Approach for Variational Problems in Domains with Cracks
- A Stability Result for Neumann Problems in Dimension N ≥ 3
- A Relaxed Model for Step-Terraces on Crystalline Surfaces
- Strong Convergence Theorems for Nonexpansive Nonself-Mappings and Inverse-Strongly-Monotone Mappings
- A Local Selection Theorem for Metrically Regular Mappings
- On the Necessity of some Constraint Qualification Conditions in Convex Programming
- On Uniqueness in Evolution Quasivariational Inequalities
- Finite Convex Integration
- A Variational Approach to a Class of Singular Semilinear Elliptic Equations
- Closing the Duality Gap in Linear Vector Optimization
- Sequential Representation Formulae for G-Subdifferential and Clarke Subdifferential in Smooth Banach Spaces
- An Epi-Convergence Result for Bivariate Convex Functions
- On the Regularity of the Convexification Operator on a Compact Set
- A New System of Generalized Nonlinear Mixed Variational Inequalities in Hilbert Spaces
- A Characterization of Polyhedral Convex Sets
- Identifying Active Constraints via Partial Smoothness and Prox-Regularity
- Pointedness, Connectedness, and Convergence Results in the Space of Closed Convex Cones
- Convergence of Convex Sets with Gradient Constraint
- The Generalized Minkowski Functional with Applications in Approximation Theory
- Variational Analysis for a Class of Minimal Time Functions in Hilbert Spaces
- Homogenization of Evolution Problems in a Fiber Reinforced Structure
- On the Representation Property of Kernels of Quasidifferentials
- On the Exact Value of Packing Spheres in a Class of Orlicz Function Spaces
- A Necessary and Sufficient Optimality Condition for a Class of Nonconvex Scalar Variational Problems
- The Hamilton-Jacobi Equation of Minimal Time Control
- Partial and Full Boundary Regularity for Minimizers of Functionals with Nonquadratic Growth
- Kuratowski's Index of Non-Compactness and Renorming in Banach Spaces
Volume 10
- Degenerate Perturbations of a Two-Phase Transition Model
- On Uniform Convexity, Total Convexity and Convergence of the Proximal Point and Outer Bregman Projection Algorithms in Banach Spaces
- Minimizers of Energy Functional under not very Integrable Constraints
- Smoothness of Absolute Norms on ℂn
- Positively Convex Modules and Ordered Normed Linear Spaces
- First Order Conditions for Ideal Minimization of Matrix-Valued Problems
- On Pseudomonotone Maps T for which -T is also Pseudomonotone
- Convexity and the Natural Best Approximation in Spaces of Integrable Young Measures
- An Existence Theorem for the Neumann Problem Involving the p-Laplacian
- Stability of Geometric and Harmonic Functional Means
- Directional Derivative of a Class of Set-Valued Mappings and its Application
- Functional Logarithm in the Sense of Convex Analysis
- Redundant Axioms in the Definition of Bregman Functions
- Contracting the Maximal Points of an Ordered Convex Set
- Convex Bodies of Optimal Shape
- Automatic Convexity
- Remarks on Differentiability of Metric Projections onto Cones of Nonnegative Functions
- Relaxation of Variational Functionals with Piecewise Constant Growth Conditions
- Multiscale Relaxation of Convex Functionals
- AW-Convergence and Well-Posedness of Non Convex Functions
- Existence in Optimal Control with State Equation in Divergence Form via Variational Principles
- Asymptotic Behaviour of a Thin Insulation Problem
- Hölder Continuity for Local Minimizers of a Nonconvex Variational Problem
- On the Equal Hull Problem for Nontrivial Semiconvex Hulls
- On Lambda-Convexity Conditions in the Theory of Lower Semicontinuous Functionals
- Summability of Solutions of Elliptic and Parabolic Quasilinear Equations with Measures as Data
- Examples of the Lavrentiev Phenomenon with Continuous Sobolev Exponent Dependence
- Continuity and Maximality Properties of Pseudomonotone Operators
- On the Relaxation on BV of Certain Non Coercive Integral Functionals
- Newton's Problem of Minimal Resistance in the Class of Bodies with Prescribed Volume
- Regularity of Optimal Convex Shapes
- On a Class of Multidimensional Optimal Transportation Problems
- On Weak*-Extreme Points in Banach Spaces
Volume 9
- The Calibration Method for Free-Discontinuity Problems on Vector-Valued Maps
- Some New Results on the Convergence of Degenerate Elliptic and Parabolic Equations
- On Critical Points of Functionals with Polyconvex Integrands
- Separation Theorems for Abstract Convex Structures
- Alternative Theorems and Necessary Optimality Conditions for Directionally Differentiable Multiobjective Programs
- A Priori Gradient Estimates for Bounded Generalized Solutions of a Class of Variational Problems with Linear Growth
- Star-Kernels and Star-Differentials in Quasidifferential Analysis
- Generalized Variational Inequalities
- Lagrangian Manifolds, Viscosity Solutions and Maslov Index
- The Class of Functionals which can be Represented by a Supremum
- Convex Stochastic Duality and the "Biting Lemma"
- Nonlinear Energy Forms and Lipschitz Spaces on the Koch Curve
- Coincidence Theorems for Convex Functions
- An Elementary Derivation of the Generalized Kohn-Strang Relaxation Formulae
- Lipschitzian Characterizations of Finite Dimensional Banach Spaces
- Variational Sum and Kato's Conjecture
- Another Counterexample to Lower Semicontinuity in Calculus of Variations
- Separation Properties for Locally Convex Cones
- On the Eigenvalues Problem for Hemivariational Inequalities: Existence and Stability
- Upper Hölder Continuity of Minimal Points
- Homogenization of Elastic Thin Structures: a Measure-Fattening Approach
- Limits of Discrete Systems with Long-Range Interactions
- On Subgradients of Spectral Functions
- Critical Point Theory for Vector Valued Functions
- Convexity, Differential Equations, and Games
- On Limits of Variational Problems. The Case of a Non-Coercive Functional
- Generalized Conjugacy in Hamilton-Jacobi Theory for Fully Convex Lagrangians
- An Extension of the Serrin's Lower Semicontinuity Theorem
- Topological Optimum Design with Evolutionary Algorithms
- Formulas for Subdifferentials of Sums of Convex Functions
- Rank Condition and Controllability of Parametric Convex Processes
- Sensitivity Analysis for Parametric Optimal Control of Semilinear Parabolic Equations
- Proximal Points are on the Fast Track
- Energy Functionals on Certain Fractal Structures
- Lipschitzian Behavior of the Fenchel Biconjugacy
- On Duality for Minmax Generalized B-vex Programming Involving n-Set Functions
- Nonconvex Duality and Viscosity Solutions of the Hamilton-Jacobi-Bellman Equation in Optimal Control
- Sensitivity of Dynamic Structures, Case of a Smart Beam
- On the Topology of Generalized Semi-Infinite Optimization
- On the Distance Theorem in Quadratic Optimization
Volume 8
- Partial Regularity for Minimizers of Degenerate Polyconvex Energies
- Γ-Convergence and Chattering Limits in Optimal Control Theory
- Vector Variational Principles; ε-Efficiency and Scalar Stationarity
- Locally Nonconical Convexity
- A Higher-Order Smoothing Technique for Polyhedral Convex Functions: Geometric and Probabilistic Considerations
- A Characterization of Convex and Semicoercive Functionals
- Convex Representation for Lower Semicontinuous Envelopes of Functionals in L1
- On the Equilibrium Position of a Square on an Elastic Wire
- Variational Inequalities and Regularity Properties of Closed Sets in Hilbert Spaces
- Self Dual Operators on Convex Functionals; Geometric Mean and Square Root of Convex Functionals
- Convexity Properties of Some Implicit Functions
- The Universal Compactification of Topological Convex Sets and Modules
- Semiconvex Hulls of Quasiconformal Sets
- Metric Bornologies and Kuratowski-Painlevé Convergence to the Empty Set
- Invariant Convex Sets in Operator Lie Algebras
- Lower Semicontinuity of Quasi-Convex Functionals with Non-Standard Growth
- Regularity of Minimizers for a Class of Anisotropic Free Discontinuity Problems
- Quasi Convex Integrands and Lower Semicontinuity in BV
- Dynamics of Positive Multiconvex Relations
- Kernelled Quasidifferential for a Quasidifferentiable Function in Two-Dimensional Space
- When Can Points in Convex Sets be Separated by Affine Maps?
- Anisotropic Elliptic Equations in Lm
- The Conjugates, Compositions and Marginals of Convex Functions
- Relaxation of Some Nonlocal Integral Functionals in Weak Topology of Lebesgue Spaces
- Jumping Problems for Fully Nonlinear Elliptic Variational Inequalities
- Monotonicity of the Integral Mean and Convex Functions
- Lavrentieff Phenomenon and Non Standard Growth Conditions
- Kuhn-Tucker Conditions and Integral Functionals
- The Category CvD0, N-Cmod and MP
- Convex Functions of Legendre Type in General Banach Spaces
- Partial and Generalized Subconvexity in Vector Optimization Problems
Volume 7
- Optimality Conditions for Constrained Convex Parabolic Control Problems Via Duality
- Rank-One Connections at Infinity and Quasiconvex Hulls
- Epi-Distance Convergence of Parametrised Sums of Convex Functions in Non-Reflexive Spaces
- Piecewise Affine Selections for Piecewise Polyhedral Multifunctions and Metric Projections
- Harmonic Sum and Duality
- Regular Maximal Monotone Operators and the Sum Theorem
- On the Algebraic Properties of Convex Bodies and Some Applications
- Euler-Lagrange Inclusions and Existence of Minimizers for a Class of Non-Coercive Variational Problems
- On the Second-Order Contingent Set and Differential Inclusions
- Absolute Minimizer in Convex Programming by Exponential Penalty
- Summability of the Solutions to Nonlinear Parabolic Equations with Measure Data
- A Two-Dimensional Variational Model for the Equilibrium Configuration of an Incompressible, Elastic Body with a Three-Well Elastic Potential
- Elements of Quasiconvex Subdifferential Calculus
- On the Lavrentieff Phenomenon for some Classes of Dirichlet Minimum Problems
- Wellposedness in the Calculus of Variations
- Total Convexity for Powers of the Norm in Uniformly Convex Banach Spaces
- Minimax Equalities by Reconstruction of Polytopes
- Homographic Approximation for Some Nonlinear Parabolic Unilateral Problems
- Compactly Epi-Lipschitzian Convex Sets and Functions in Normed Spaces
- Bounded Linear Regularity, Strong CHIP, and CHIP are Distinct Properties
- Existence of a Continuous Solution of Parametric Nonlinear Equation with Constraints
- Nonexistence of Solutions in Nonconvex Multidimensional Variational Problems
- Viability Results for Nonautonomous Differential Inclusions
- Minimal Pairs Representing Selections of Four Linear Functions in ℝ3
Volume 6
- A New Subdifferential in Quasiconvex Analysis
- Memory Effects and Gamma-Convergence: a Time-Dependent Case
- Topological Properties of a New Graph Topology
- Asymptotic Analysis to a Phase-Field Model with a Nonsmooth Memory Kernel
- A Hybrid Projection-Proximal Point Algorithm
- Lipschitz Continuity of the State Function in a Shape Optimization Problem
- Some Geometric Properties in Orlicz Sequence Spaces Equipped with Orlicz Norm
- Least Deviation Decomposition with Respect to a Pair of Convex Sets
- On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations
- The Distribution of Unbounded Random Sets and the Multivalued Strong Law of Large Numbers in Nonreflexive Banach Spaces
- Denting Points in Bochner Banach Ideal Spaces X(E)
- Existence and Uniqueness of Solution of Unilateral Problems with L1 Data
- On the Composition of Quasiconvex Functions and the Transposition
- Variational Problems with Pointwise Constraints on the Derivatives
- Graph-Convex Mappings and K-Convex Functions
- Boundary Homogenization for a Quasi-Linear Elliptic Problem with Dirichlet Boundary Conditions Posed on Small Inclusions Distributed on the Boundary
- Dynamical Shape Control in Non-Cylindrical Navier-Stokes Equations
- Dykstra's Algorithm as the Nonlinear Extension of Bregman's Optimization Method
- Relationship Between Dynamic Programming and the Maximum Principle Under State Constraints
- BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals
- Invariants of Pairs of Compact Convex Sets
- New Convergence Results for Nash Equilibria
- A Note on the Closedness of the Convex Hull and Its Applications
- The Barrier Cone of a Convex Set and the Closure of the Cover
Volume 5
- Non-Coercive Variational Problems with Constraints on the Derivatives
- Spectrum Stability of an Elliptic Operator to Domain Perturbations
- An Existence Result for a Class of Non Convex Problems of the Calculus of Variations
- Convergence Theorems for a Pair of Nonexpansive Mappings
- On a New Result on the Existence of Zeros Due to Ricceri
- On a Variational Inequality Containing a Memory Term with an Application in Electro-Chemical Machining
- On Schur-Ostrowski Type Theorems for Group Majorizations
- A Note on Quasiconvexity and Rank-One Convexity for 2x2 Matrices
- Characterizations of Generalized Monotone Nonsmooth Continuous Maps Using Approximate Jacobians
- On Some Quasiconvex Functions with Linear Growth
- Korovkin Sets and Mean Ergodic Theorems
- Vertical Developments of a Convex Function
- Homogenization of Periodic Finsler Metrics
- Convergence of Unbounded Multivalued Supermartingales in the Mosco and Slice Topologies
- On Smoothing of Parametric Minimax-Functions and Generalized Max-Functions via Regularization
- Limiting Convex Examples for Nonconvex Subdifferential Calculus
- Turnpike Theorem for Convex Infinite Dimensional Discrete-Time Control Systems
- Lipschitz Continuous Selectors. Part I: Linear Selectors
- On Some Properties of Paramonotone Operators
- Separation by Hyperplanes in Finite-Dimensional Vector Spaces Over Archimedean Ordered Fields
- Unbounded Linear Monotone Operators on Nonreflexive Banach Spaces
- Optimal Control of Problems Governed by Obstacle Type Variational Inequalities: a Dual Regularization-Penalization Approach
- Optimization of Positive Generalized Polynomials Under lp Constraints
- A Viability Result in the Upper Semicontinuous Case
- Homogeneous Functions and Conjugacy
Volume 4
- C-Minimal Pairs of Compact Convex Sets
- Legendre Functions and the Method of Random Bregman Projections
- Gamma-convergence for a Class of Functionals with Deviating Argument
- Variational Approximation of Functionals with Curvatures and Related Properties
- A Systematization of Convexity Concepts for Sets and Functions
- Non-Uniform Integrability and Generalized Young Measures
- Cone-Constrained Linear Equations in Banach Spaces
- Existence of Solutions for Degenerate Sweeping Processes
- On the Minimal Extension of Increasing *-Weakly Semicontinuous Sublinear Functionals from L+∞
- Complements, Approximations, Smoothings and Invariance Properties
- Proto-Derivatives of Partial Subgradient Mappings
- Minimization of Nonsmooth Convex Functionals in Banach Spaces
- Existence of Regular Solutions for a One-Dimensional Simplified Perfect-Plastic Problem with a Unilateral Gradient Constraint
- A Generalization of the Quasiconvex Optimization Problem
- BMO Regularity for One-Dimensional Minimizers of Some Lagrange Problems
- Rank-One-Convex and Quasiconvex Envelopes for Functions Depending on Quadratic Forms
- An Elementary Proof of Komlós-Révész Theorem in Hilbert Spaces
- Decompositions of Compact Convex Sets
- Shape Optimization Problems over Classes of Convex Domains
- Are Some Optimal Shape Problems Convex?
- On the Structure of Nash Equilibrium Sets in Partially Convex Games
- Geometric Approximation of Proximal Normals
- Measure-Differential Inclusions in Percussional Dynamics
Volume 3
- A General Duality Principle for the Sum of Two Operators
- Two Generalizations of Komlós' Theorem with Lower Closure-Type Applications
- The Graves Theorem Revisited
- A Note on the Characterization of the Global Maxima of a (Tangentially) Convex Function Over a Convex Set
- An Asymptotical Variational Principle Associated with the Steepest Descent Method for a Convex Function
- Existence of Feasible Potentials on Infinite Networks
- A Continuum of Minimal Pairs of Compact Convex Sets which are not Connected by Translations
- Favorable Classes of Mappings and Multimappings in Nonlinear Analysis and Optimization
- A Bornological Approach to Rotundity and Smoothness Applied to Approximation
- On the level sum of two convex functions on Banach spaces
- On Extreme Singular Values of Matrix Valued Functions
- A Characterization of Sets of Functions and Distributions on ℝn Described by Constraints on the Gradient
- Generalized Monotone Nonsmooth Maps
- Subdifferential Calculus Without Qualification Assumptions
- A Variational Model for Non Linear Elastic Plates
- On Almost Sure Convergence of Vector Valued Pramarts and Multivalued Pramarts
- More Than First-Order Developments of Convex Functions: Primal-Dual Relations
- Monotone Trajectories of Differential Inclusions in Banach Spaces
- Polishness of Weak Topologies Generated by Gap and Excess Functionals
- The Viscosity Subdifferential of the Sum of Two Functions in Banach Spaces. I: First Order Case
- On Primal-Dual Stability in Convex Optimization
- Numerical Approximation of Relaxed Variational Problems
- A New Tool in the Theory of Integral Representation
- Summability of the Solutions of Nonlinear Elliptic Equations with Right Hand Side Measures
- A Resolution of Simons' Maximal Monotonicity Problem
- Bounds for Anti-Distance
Volume 2
- Consistency of Minimizers and the SLLN for Stochastic Programs
- Partial Differential Inclusions Governing Feedback Controls
- Quadratic Growth and Stability in Convex Programming Problems with Multiple Solutions
- Weak* Sequential Compactness and Bornological Limit Derivatives
- A Derivation Formula for Convex Integral Functionals Defined on BV(Ω)
- On a Gap Phenomenon for Isoperimetrically Constrained Variational Problems
- On a Problem of Potential Wells
- Proximal Smoothness and the Lower-C2 Property
- Asymptotic Convergence of the Steepest Descent Method for the Exponential Penalty in Linear Programming
- On the Measurability of the Conjugate and the Subdifferential of a Normal Integrand
- Quasi-Convex Functions and Quasi-Monotone Operators
- The Convex Analysis of Unitarily Invariant Matrix Functions
- Dualities Associated to Binary Operations
- On Nonconvex Subdifferential Calculus in Banach Spaces
- Polyhedral Approximation of Convex Sets with an Application to Large Deviation Probability Theory
- Existence of Solutions for Unilateral Problems with Multivalued Operators
- Lagrangian Stability and Global Optimality in Nonconvex Quadratic Minimization over Euclidean Balls and Spheres
- Norms that Generate the Same Wijsman Topology on Convex Sets
- Existence of Zeros via Disconnectedness
- Antihomogeneous Conjugacy Operators in Convex Analysis
- A General Approach to Dual Characterizations of Solvability of Inequality Systems with Applications
- Extraction of a 'Good' Subsequence from a Bounded Sequence of Integrable Functions
- Simultaneous Almost Minimization of Convex Functions and Duals of Results Related to Maximal Monotonicity
- Wellposed Problems of the Calculus of Variations for Nonconvex Integrals
Volume 1
- Variational Sum of Monotone Operators
- Gap Phenomenon for Some Autonomous Functionals
- Differentiability of Convex Functions on a Banach Space with Smooth Bump Function
- Examples of Convex Functions and Classifications of Normed Spaces
- Bounded Diagonally Stationary Sequences in Convex Optimization
- Epiconvergence and Epsilon-Subgradients of Convex Functions
- An Attempt of Characterization of Functions with Sharp Weakly Complete Epigraphs
- The Hausdorff Metric Topology, the Attouch-Wets Topology, and the Measurability of Set-Valued Functions
- Topological Degree for Maximal Monotone Operators and Application to Parametric Optimization Problems
- Some Remarks About the Density of Smooth Functions in Weighted Sobolev Spaces
- Structure of Efficient Sets for Strictly Quasi Convex Objectives
- On Lower Semicontinuity in BV Setting
- A New Approach to a Hyperspace Theory
- Subdifferential Characterization of Quasiconvexity and Convexity
- The Use of Monotone Norms in Epigraphical Analysis
- Integral Representations in Conuclear Cones
- A Reverse Convolution-Inequality