Abstract

No abstract was supplied in the legacy catalogue for this publication.

Author information

Contact details are reproduced from the original publication and may be historical.

S. Simons

Department of Mathematics, University of California, Santa Barbara, CA 93106, USA.

References

  1. H. Attouch, G. Beer: On the convergence of subdifferentials of convex functions, Arch. Math. 60 (1993), 389–400.https://doi.org/10.1007/BF01207197Google Scholar
  2. A Brøndsted, R. T. Rockafellar: On the subdifferentiability of convex functions, Proc. Amer. Math. Soc. 16 (1965), 605–611.https://doi.org/10.1090/S0002-9939-1965-0178103-8Google Scholar
  3. S. P. Fitzpatrick, R. R. Phelps: Some properties of maximal monotone operators on nonreflexive Banach spaces, Set-Valued Analysis 3 (1995), 51–69.https://doi.org/10.1007/BF01033641Google Scholar
  4. D. Gale: A Geometric Duality Theorem with Economic Applications, Review of Economic Studies, 34 (1967), 19–24.https://doi.org/10.2307/2296568Google Scholar
  5. J.- P. Gossez: Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs J. Math. Anal. Appl. 34 (1971), 371–395.https://doi.org/10.1016/0022-247X(71)90119-3Google Scholar
  6. R. T. Rockafellar: On the maximal monotonicity of subdifferential mappings, Pac. J. Math. 33 (1970), 209–216.https://doi.org/10.2140/pjm.1970.33.209Google Scholar
  7. R. T. Rockafellar: Conjugate duality and optimization, Conference Board of the Mathematical Sciences 16 (1974), SIAM publications.https://doi.org/10.1137/1.9781611970524Google Scholar
  8. S. Simons: The least slope of a convex function and the maximal monotonicity of its subdifferential, JOTA 71 (1991), 127–136.https://doi.org/10.1007/BF00940043Google Scholar
  9. S. Simons: Les dérivées directionnelles et la monotonicité maximale des sous-différentiels, Séminaire d’Initiation à l’Analyse (Séminaire Choquet) 1991/92, Publications Mathématiques de l’Université Paris 6(1993), No. 23, 6 pages.Google Scholar
  10. S. Simons: Subdifferentials are locally maximal monotone, Bull. Australian Math. Soc. 47 (1993), 465–471.https://doi.org/10.1017/S000497270001529XGoogle Scholar
  11. S. Simons: Swimming below icebergs, Set-Valued Analysis, 2 (1994), 327–337.https://doi.org/10.1007/BF01027109Google Scholar
  12. S. Simons: Subtangents with controlled slope, Nonlinear Analysis, 22 (1994), 1373–1389.https://doi.org/10.1016/0362-546X(94)90118-XGoogle Scholar
  13. A. Verona, M. E. Verona: Remarks on subgradients and ε-subgradients, Set-Valued Analysis 1 (1993), 261–272.https://doi.org/10.1007/BF01027637Google Scholar

Suggested citation

S. Simons. “Simultaneous Almost Minimization of Convex Functions and Duals of Results Related to Maximal Monotonicity.” Journal of Convex Analysis 2 (1995), No. 1&2, 359–373. https://doi.org/10.68381/jca02023

Download BibTeXPublished by Heldermann Verlag.

Published by Heldermann Verlag, 1995. Rights now held by Banach Press.