VECTOR $F$-COMPLEMENTARITY PROBLEMS WITH NONCONVEX PREFERENCES AND APPLICATIONS TO VECTOR OPTIMIZATION PROBLEMS

Abstract

In this paper, several classes of vector $F$-complementarity problems (in short, VF-CP) and vector $F$-variational inequalities (in short, VF-VI) with relations determined by nonconvex preferences are introduced in Banach spaces. Some characterizations of solution sets for (VF-CP) and (VF-VI) are also presented. Furthermore, the results obtained are applied to vector optimization problems.