线性空间中集优化问题的稳定性
Stability of Set Optimization Problems in Linear Spaces
摘要: 本文研究线性空间中的集优化问题，其中解的概念由下集序关系定义。在不依赖拓扑结构的前提下，从代数意义的收敛性、紧致性与开集性出发，借助这些概念以及Painlevé-Kuratowski收敛性，获得了近似弱极小解的稳定性结果。
Abstract: This paper investigates set optimization problems in linear spaces, where the concept of solutions is defined via the set less order relation. Without relying on a topological structure, by using algebraic notions of convergence, compactness, and openness, together with Painlevé-Kuratowski convergence, stability results for approximate weak minimal solutions are established.
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