含参广义向量拟均衡问题有效解映射的下半连续性

LOWER SEMI-CONTIONUITY OF EFFICIENT SOLUTION MAPPING TOPARAMETRIC GENERALIZED VECTOR QUASI-EQUILIBRIUMPROBLEMS

针对一类含参广义向量拟均衡问题,在实Hausdorff拓扑向量空间中研究了有效解映射的下半连续性。在锥凹、一致连续及Hausdorff上半连续的假设下,运用分析的方法,得到了含参广义向量拟均衡问题有效解映射下半连续性定理。

The lower semi-continuity of efficient solution mapping to a class of parametric generalized vector quasi-equilibrium problems in real Hausdorff topological vector space is studied.Under the assumption conditions of cone concave,uniformly continuous and Hausdorff upper semi-continuous,the lower semi-continuity theorem for efficient solution mapping to the parametric generalized vector quasi-equilibrium problems is gained by using the method of analysis.