On a Generalized Variational Inequality Problem

Abstract

In this paper, a sufficient condition in order to have $C-$ pseudomonotone property  for  multifunctions is presented. By applying a special minimax theorem and KKM theory some existence results of solutions of generalized variational inequality problem are established.  Some examples in order to illustrate the main results are given. The results of this paper can be considered as extension and improvement of some articles in this area.