Journal of Convex Analysis 09 (2002), No. 2, 309--324
Copyright Heldermann Verlag 2002
On the Eigenvalues Problem for Hemivariational Inequalities: Existence and Stability
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
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.
Keywords: Eigenvalues hemivariational inequality, Ky Fan's minimax inequality, qualitative stability, rate of convergence.
MSC: 49J40; 49J35, 49J52
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