线性空间中严格E-凸和严格半E-凸集值映射的性质
Properties of Strict E-Convex and Strict Semi-E-Convex Set-Valued Maps in Linear Spaces
DOI: 10.12677/pm.2025.157208, PDF,    国家自然科学基金支持
作者: 邹东易：重庆电力高等专科学校人文素质学院，重庆
关键词: E-凸集；严格E-凸集值映射；严格半E-凸集值映射；E-Convex Set； Strict E-Convex Set-Valued Map； Strict Semi-E-Convex Set-Valued Map
摘要: 首先，本文在线性空间中定义了严格E-凸和严格半E-凸集值映射。其次，获得了这两种集值映射的性质。本文获得的结果推广了文献中的一些已知结果。
Abstract: Firstly, strict E-convex and strict semi-E-convex set-valued maps are defined in linear spaces. Secondly, the properties of two set-valued maps are obtained. The results obtained in this paper extend some known results in the literature.
文章引用：邹东易. 线性空间中严格E-凸和严格半E-凸集值映射的性质[J]. 理论数学, 2025, 15(7): 70-73. https://doi.org/10.12677/pm.2025.157208

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