On Strict Vector Variational Inequalities

摘要

In this paper, we introduce the notion of strict local vector variational inequalities of order m and use it as a tool to characterize the strict local efficient solutions of a vector optimization problem. We extend the concept of minimal points and local minimal points of a set to strict local minimal points of order m and this concept has been used to construct a gap function for the strict local vector variational inequalities of order m. Some existence results for the solutions of the strict local vector variational inequalities of order m have also been obtained under the assumptions of proper quasimonotonicity.