Strong m-Convexity of Set-Valued Functions

被引：0

作者：

Lara, Teodoro ^{[1
]}

Merentes, Nelson ^{[2
]}

Quintero, Roy ^{[3
]}

Rosales, Edgar ^{[1
]}

机构：

[1] Univ Los Andes Nucleo Rafael Rangel, Dept Fis & Matemat, Trujillo, Venezuela

[2] Univ Cent Venezuela, Escuela Matemat, Caracas, Venezuela

[3] Northern Illinois Univ, Dept Math Sci, De Kalb, IL USA

来源：

ANNALES MATHEMATICAE SILESIANAE | 2023年 / 37卷 / 01期

关键词：

m-convex set; strongly m-convex set-valued function; Jensen type inclusion; normed space;

D O I：

10.2478/amsil-2023-0003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this research we introduce the concept of strong m-convexity for set-valued functions defined on m-convex subsets of real linear normed spaces, a variety of properties and examples of these functions are shown, an inclusion of Jensen type is also exhibited.

引用

页码：82 / 94

页数：13

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