OPTIMALITY CONDITIONS FOR VECTOR EQUILIBRIUM PROBLEMS AND THEIR APPLICATIONS

摘要

The purpose of this paper is to establish necessary and sufficient conditions for a point to be solution of a vector equilibrium problem with cone and affine constraints. Using a separation theorem, which involves the quasi-interior of a convex set, we obtain optimality conditions for solutions of the vector equilibrium problem. Then, the main result is applied to vector optimization problems with cone and affine constraints and to duality theory.