Abstract

This paper is concerned with the eigenvalues problem for hemivariational inequalities. First we present our existence results by means of mixed version of Ky Fan's minimax inequality. Further results concerning the convergence of solutions are proved when the given data of the problem are perturbed. Some remarks and comments are given in the last section.

Author information

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Mohamed Ait Mansour

Dép. des Mathématiques, Université Cadi Ayyad, Faculté des Sciences Semlalia, 40000 Marrakech, Morocco

mansour@ucam.ac.ma

Hassan Riahi

Dép. des Mathématiques, Université Cadi Ayyad, Faculté des Sciences Semlalia, 40000 Marrakech, Morocco

h-riahi@ucam.ac.ma

Keywords

  • Eigenvalues hemivariational inequality
  • Ky Fan's minimax inequality
  • qualitative stability
  • rate of convergence

Mathematics Subject Classification

49J40; 49J35, 49J52

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Suggested citation

M. Ait Mansour, H. Riahi. “On the Eigenvalues Problem for Hemivariational Inequalities: Existence and Stability.” Journal of Convex Analysis 9 (2002), No. 2, 309–325. https://doi.org/10.68381/jca09019

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Published by Heldermann Verlag, 2002. Rights now held by Banach Press LLC.