Strong m-Convexity of Set-Valued Functions

Teodoro Lara; Nelson Merentes; Roy Quintero; Edgar Rosales

doi:10.2478/amsil-2023-0003

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Strong m-Convexity of Set-Valued Functions

Annales Mathematicae Silesianae

Volume 37 (2023): Issue 1 (March 2023)

By: Teodoro Lara , Nelson Merentes, Roy Quintero and Edgar Rosales

Open Access

|Feb 2023

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/amsil-2023-0003 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107

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Language: English

Page range: 82 - 94

Submitted on: Oct 11, 2022

Accepted on: Jan 24, 2023

Published on: Feb 7, 2023

Published by: University of Silesia in Katowice, Institute of Mathematics

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

m-convex set,

strongly m-convex set-valued function,

Jensen type inclusion,

normed space

Related subjects:

Mathematics,

General mathematics

© 2023 Teodoro Lara, Nelson Merentes, Roy Quintero, Edgar Rosales, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 37 (2023): Issue 1 (March 2023)