Strong m-convexity of set-valued functions

Teodoro Lara; Nelson Merentes; Roy Quintero; Edgar Rosales

Published: 2023-02-07

Vol. 37 No. 1 (2023)

Strong m-convexity of set-valued functions

Teodoro Lara

, Nelson Merentes , Roy Quintero , Edgar Rosales

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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Lara, T., Merentes, N., Quintero, R., & Rosales, E. (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

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References

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Teodoro Lara

tlara@ula.ve
https://orcid.org/0000-0002-3028-1961

Affiliation:

Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Trujillo Venezuela, Bolivarian Republic of

Nelson Merentes

Affiliation:

Universidad Central de Venezuela, Escuela de matemáticas, Caracas Venezuela, Bolivarian Republic of

Roy Quintero

Affiliation:

Department of Mathematical Sciences, Northern Illinois University, DeKalb United States

Edgar Rosales

Affiliation:

Departamento de Física y Matemáticas, Universidad de los Andes, Núcleo “Rafael Rangel”, Trujillo Venezuela, Bolivarian Republic of

Vol. 37 No. 1 (2023)
Published: 2023-03-03

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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