A Unifying Approach to Variational Relation Problems

A Unifying Approach to Variational Relation Problems

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Article ID: iaor20127266
Volume: 155
Issue: 2
Start Page Number: 417
End Page Number: 429
Publication Date: Nov 2012
Journal: Journal of Optimization Theory and Applications
Authors: , ,
Keywords: variational relation problems
Abstract:

The purpose of this paper is to present a unified approach to study the existence of solutions for two types of variational relation problems, which encompass several generalized equilibrium problems, variational inequalities and variational inclusions investigated in the recent literature. By using two well‐known fixed point theorems, we establish several existence criteria for the solutions of these problems.

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