Strict vector variational inequalities and strict Pareto efficiency in nonconvex vector optimization

Abstract

In this paper, we consider a vector optimization problem involving the difference of two cone convex functions in Banach spaces. In terms of Clarke subdifferential, we formulate strict Minty vector variational inequality problem and strict Stampacchia vector variational inequality problem. We mainly study the relationships between the solutions of these vector variational inequality problems and the strict Pareto efficient solution of the vector optimization problem.