含参混合隐向量均衡问题解存在性及灵敏度分析

The existence and sensitivity analysis of solution set mapping for parametric mixed implicit vector equilibrium problems

研究Hausdorff拓扑向量空间中的含参混合隐向量均衡问题解的灵敏度.通过建立混合隐向量均衡解存在的充分条件,进而研究含参混合隐向量均衡问题的解是上半连续的、下半连续的,从而概括总结出解映射的连续性.

In this paper, we study the sensitivity analysis of solution for parametric mixed implicit vector equilibrium problems in Hausdorff topological vector spaces. We establish sufficient conditions to ensure the existence of solution for parametric mixed implicit vector equilibrium problems, and then we study upper semi - continuity and lower semi - continuity of solution for such problems. Thus we summarize the continuity of the solution set mapping.