Recession methods for equilibrium problems and applications to variational and hemivariational inequalities

O. Chadli; Z. Chbani; H. Riahi

doi:10.3934/dcds.1999.5.185

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1999, Volume 5, Issue 1: 185-196. Doi: 10.3934/dcds.1999.5.185

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Recession methods for equilibrium problems and applications to variational and hemivariational inequalities

1.
Mathematiques, B.P. S 15, Université Cadi Ayyad, Faculté des Sciences Semlalia, 40000 Marrakech

Received: November 30, 1997

Revised: February 28, 1998

Published: December 1998

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Abstract

In this paper, we give some existence results for equilibrium problems by proceeding to a perturbation of the initial problem and using techniques of recession analysis. We develop and describe thoroughly recession condition which ensure existence of at least one solution for hemivariational inequalities introduced by Panagiotopoulos. Then we give two applications to resolution of concrete variational inequalities. We shall examine two examples. The first one concerns the unilateral boundary condition. In the second, we shall consider the contact problem with given friction on part of the boundary.

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Mathematics Subject Classification: 49A29, 49A36.

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