IMPLICIT VECTOR VARIATIONAL INEQUALITIES WITHOUT MONOTONICITY

Abstract

In this paper, we introduce and study a new class of implicit vector variational inequalities for set-valued mappings in Hausdorff topological vector spaces. By using the results of Fan [6] and Lin [15], we prove some new existence theorems of solutions for the implicit vector variational inequalities without monotonicity in Hausdorff topological vector spaces.