Kuhn-Tucker Optimality Conditions For Vector Equilibrium Problems

In this paper, first of all, by using the concept of Frechet differentiability of mapping, it presents the optimality conditions for weakly efficient solution, Henig efficient solution, superefficient solution and globally efficient solution to the vector quilibrium problems with inequality and equality constraints, and gives K-T necessary conditions to the vector equilibrium problems without convexity conditions and K-T sufficient conditions with convexity conditions; Finally, by using the concept of Frechet differentiability of mapping once again, it presents the K-T optimality conditions for weakly efficient solution, Henig efficient solution, superefficient solution and globally efficient solution to the vector equilibrium problems with inequality constraints.