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January  1999, 5(1): 185-196. doi: 10.3934/dcds.1999.5.185

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

O. Chadli 1, , Z. Chbani 1, and  H. Riahi 1,

1. 

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

Received  December 1997 Revised  March 1998 Published  October 1998

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.
Keywords: Equilibrium problem, recession set, Hemivariational inequalities..
Mathematics Subject Classification: 49A29, 49A3.
Citation: O. Chadli, Z. Chbani, H. Riahi. Recession methods for equilibrium problems and applications to variational and hemivariational inequalities. Discrete & Continuous Dynamical Systems, 1999, 5 (1) : 185-196. doi: 10.3934/dcds.1999.5.185
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