Properties of Strict <i>E</i>-Convex and Strict Semi-<i>E</i>-Convex Set-Valued Maps in Linear Spaces

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。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.

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Publication Details

Journal
Pure Mathematics
Published
2025-01-01
DOI
https://doi.org/10.12677/pm.2025.157208
Primary Topic
Optimization and Variational Analysis
Type
article
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article

Properties of Strict E-Convex and Strict Semi-E-Convex Set-Valued Maps in Linear Spaces

东易 邹
Pure Mathematics
Optimization and Variational Analysis
article

Properties of Strict E-Convex and Strict Semi-E-Convex Set-Valued Maps in Linear Spaces

东易 邹
article en

Abstract

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。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.

Pure MathematicsVol. 15(07)
Openalex Percentile: Top 81%
Optimization and Variational Analysis
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Properties of Strict <i>E</i>-Convex and Strict Semi-<i>E</i>-Convex Set-Valued Maps in Linear Spaces — 东易 邹 · Pure Mathematics (2025) | TGRS Research Map | TGRS