Equivalence Of Equilibrium Problems Portrayed

Vector equilibrium was involved in many subjects such as optimization,econ-omy model, optimal control, etc. Many result have been applied to game, economy management and so on.In this paper, we present the necessary and sufficient condi-tions for weakly efficient solution,Henig efficient solution,Pareto efficient solution, Benson efficient solution,and super efficient solution to the vector equilibrium prob-lems with constraints of Set-valued mapping.