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

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Published : 2023-02-07


LaraT., MerentesN., QuinteroR., & RosalesE. (2023). Strong m-convexity of set-valued functions. Annales Mathematicae Silesianae, 37(1), 82-94. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/15210

Teodoro Lara  tlara@ula.ve
Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Trujillo  Venezuela, Bolivarian Republic of
https://orcid.org/0000-0002-3028-1961
Nelson Merentes 
Universidad Central de Venezuela, Escuela de matemáticas, Caracas  Venezuela, Bolivarian Republic of
Roy Quintero 
Department of Mathematical Sciences, Northern Illinois University, DeKalb  United States
Edgar Rosales 
Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Trujillo  Venezuela, Bolivarian Republic of



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