<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this research we introduce the concept of strong <italic>m</italic>-convexity for set-valued functions defined on <italic>m</italic>-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.</p>
</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.

Strong <italic>m</italic>-Convexity of Set-Valued Functions

Universidad de los Andes, Núcleo “Rafael Rangel”

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

Strong -Convexity of Set-Valued Functions

{"article-title":{"italic":"m","content":["Strong","-Convexity of Set-Valued Functions"]}}

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...

Strong m-Convexity of Set-Valued Functions

Publié en ligne: 07 févr. 2023

Pages: 82 - 94

Reçu: 11 oct. 2022

Accepté: 24 janv. 2023

DOI: https://doi.org/10.2478/amsil-2023-0003

Mots clés
-convex set, strongly -convex set-valued function, Jensen type inclusion, normed space

© 2023 Teodoro Lara et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Strong m-Convexity of Set-Valued Functions

Publié en ligne: 07 févr. 2023

Pages: 82 - 94

Reçu: 11 oct. 2022

Accepté: 24 janv. 2023

DOI: https://doi.org/10.2478/amsil-2023-0003

Mots clés-convex set, strongly -convex set-valued function, Jensen type inclusion, normed space

© 2023 Teodoro Lara et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
-convex set, strongly -convex set-valued function, Jensen type inclusion, normed space