一类广义多值向量平衡问题解集的存在性及稳定性

On the Existence and Stability of Generalized Multiple-valued Vector Equilibrium Problems

引入和研究Hausdorff拓扑向量空间中的一类广义多值向量平衡问题.通过运用Fan-Browder不动点定理及FKKM定理,证明了一类广义向量平衡问题(GVEP)解的存在性,推广和改进了Fu-Wan在广义集值映射向量平衡问题中的相关研究成果,并进一步研究了一类(GVEP)解集的闭性及上半连续性.

Some generalized multiple-valued vector equilibrium problems in Hausdorff vector topologic spaces are introduced.By using Fan-Browder fixed point theorem and FKKM theorem,some existence theorems of them are obtained,which extend and unify corresponding results of Fu-Wan in generalized vector equilibrium problems with set-valued mappings.The close property and the upper semicontinuity property of the solution set for perturbed generalized vector equilibrium problems are also established.