On the Existence and Stability of Implict Multi-valued Vector Equilibrium Problems
HE Zhong-quan · Journal of China West Normal University · 2009
Some implict multi-valued vector equilibrium problems in Hausdorff linear topologic spaces are introduced and studied in this paper.By using Ky Fan section theorem,some existence theorems of this problem are obtained.We also prove its solution set is a closed set,as well as establish the upper semicontinuity property of the solution set for perturbed implict multi-valued vector equilibrium problems and the lower semicontinuity property of the solution set for perturbed equilibrium problems.