VECTOR VARIATIONAL-LIKE INEQUALITIES WITH PSEUDO SEMI-MONOTONE MAPPINGS

Abstract

In this paper, concepts of pseudo semi-monotone and -pseudo semi-monotone mappings are introduced. These concepts are applied to prove the solvability for the class of vector variational like-inequalities by using Kakutani-Fan-Glicksberg's fixed point theorem. The results presented in this paper generalize some known results for vector variational inequalities in recent years. almost everywhere.