Vector Equilibrium Problem with Domination Structure and Property of Its Solution Set

Abstract

In this paper,a kind of vector equilibrium problem with domination structure and a new pseudomonotonicity for vector mappings are presented.Existence of solutions for vector equilibrium problem with domination structure and the compactness and convexity of solution set are established. As applications,existence of solutions for vector variational inequalities and vector complementarity problems with domination structure are derived.