Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation

Existence of Solutions for Noncoercive Hemivariational Inequalities by an Equilibrium Approach Under Pseudomonotone Perturbation

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Article ID: iaor2014204
Volume: 160
Issue: 1
Start Page Number: 49
End Page Number: 66
Publication Date: Jan 2014
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: perturbation analysis, Nash equilibrium
Abstract:

In this paper, we study the existence of a solution for a hemivariational inequality problem in a noncoercive framework. The approach adopted is an equilibrium problem formulation associated with a maximal monotone bifunction with pseudomonotone perturbation. We proceed by introducing auxiliary problems that will be studied using a new existence result for equilibrium problems. An example to illustrate the use of the theory is given.

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