NONLINEAR MIXED VECTOR VARIATIONAL INEQUALITY PROBLEMS

Abstract

In this paper, we consider nonlinear mixed vector variational inequality problems in the setting of topological vector spaces. We extend the concept of upper sign continuity for vector-valued functions and establish some existence results for solutions of vector variational inequalities. By utilizing a new version of Ky Fan lemma we investigated the nonemptyness and compactness of solution sets of these problems under some suitable assumptions.