含参集序集优化问题最优值映射的序下半连续性

摘要

The stability of set optimization with set-valued maps was researched.The model of set optimization with set-valued maps and the definition of the optimal solution were built based on the previous research of set optimization with set-valued maps.Through the concept of lower semicontinuity with set-relations of set-valued maps which was established recently by Jahn and Takashi Maeda,we concluded that the sufficient conditions of the lower semicontinuity with set-relations of parametric set optimization with set-valued maps.%研究了集序关系意义下集值优化问题的稳定性。在集序集值优化问题研究的基础上,给出了集序集值优化问题模型及最优解的定义,依据Jahn和Takashi Maeda建立的集值映射在集序关系意义下的序下半连续性概念,对集序集优化问题在集序关系意义下的序下半连续性进行分析,得出了含参集值优化问题最优值映射的序半连续性的充分条件。