Strong m-convexity of set-valued functions
Abstract
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.
Keywords
m-convex set; strongly m-convex set-valued function; Jensen type inclusion; normed space
References
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Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Trujillo Venezuela, Bolivarian Republic of
https://orcid.org/0000-0002-3028-1961
Universidad Central de Venezuela, Escuela de matemáticas, Caracas Venezuela, Bolivarian Republic of
Department of Mathematical Sciences, Northern Illinois University, DeKalb United States
Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Trujillo Venezuela, Bolivarian Republic of
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