The Convergent Behavior for Parametric Generalized Vector Equilibrium Problems

We study some properties for parametric generalized vector equilibrium problems and the convergent behavior for the correspondent solution sets of this problem under some suitable conditions. Several existence results and the topological structures of the efficient solutions set are established. Some new results of existence for weak solutions and strong solutions are derived. Finally, we give some examples to illustrate our theory including the example studied by Fang 1992 , who established the perturbed nonlinear program Pμ and described successfully that the optimal solution of Pμ will approach the optimal solution of linear program P .