Optimality conditions for vector equilibrium problems and their applications
Adela Elisabeta Capătă · Journal of Industrial and Management Optimization · 2013
The purpose of this paper is to establish necessary and sufficientconditions for a point to be solution of a vector equilibriumproblem with cone and affine constraints. Using a separationtheorem, which involves the quasi-interior of a convex set, weobtain optimality conditions for solutions of the vectorequilibrium problem. Then, the main result is applied to vectoroptimization problems with cone and affine constraints and toduality theory.