含参向量优化问题真有效解映射的下半连续性

摘要

在局部凸拓扑线性空间中,利用向量优化问题Henig有效解,全局有效解,超有效解,锥-Benson有效解的标量化结果研究了含参向量优化问题Henig有效解映射,全局有效解映射,超有效解映射,锥-Benson有效解映射的下半连续性.%Through utilizing the scalarization results of Henig efficient solution,the following sections were discussed:global efficient solution,super-efficient solution,cone-Benson efficient solution in locally convex topological vector spaces,the lower semicontinuity of Henig efficient solution mapping,global efficient solution mapping,super-efficient solution mapping,and cone-Benson efficient solution mapping.