Strong m-Convexity of Set-Valued Functions

Lara, Teodoro; Merentes, Nelson; Quintero, Roy; Rosales, Edgar

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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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:

-convex set,

strongly -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.

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