Abstract

The generalized topological degree theory is based on the Brouwer and Leray-Schauder degrees. It can be defined for general classes of mappings. The purpose of this article is two-fold. One goal is to define the topological degree for maximal monotone operators. Particular attention is paid to the continuation methods for this kind of operators and real functions of convex type. This allows us to extend some recent results (see [5], [6]) by withdrawing the compactness assumptions.

Author information

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

Hassan Riahi

Université CADI AYYAD, Faculté des Sciences Semlalia, Département de Mathématiques, B.P. S 15, 40 000 Marrakech, Marocco.

Keywords

  • Topological degree
  • Pseudo-monotone operator
  • Operator of class (S₊)
  • Maximal monotone operator
  • Generalized Yosida approximation
  • Graph-continuity

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Suggested citation

H. Riahi. “Topological Degree for Maximal Monotone Operators and Application to Parametric Optimization Problems.” Journal of Convex Analysis 1 (1994), No. 2, 121–133. https://doi.org/10.68381/jca01009

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Published by Heldermann Verlag, 1994. Rights now held by Banach Press LLC.