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: | Balaj M, Agarwal R, ORegan D |
Keywords: | variational relation problems |
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.