On the Eigenvalues Problem for Hemivariational Inequalities: Existence and Stability

Mohamed Ait Mansour; Hassan Riahi

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

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

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

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, 309–324.