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

<p>The aim of this paper is to generalize the convexity preserving properties of sets by direct and inverse images initially stated for set-valued ratios of affine functions to a broader class of fractional type set-valued functions which strictly includes the first one.</p>
</abstract>

The aim of this paper is to generalize the convexity preserving properties of sets by direct and inverse images initially stated for set-valued ratios of affine functions to a broader class of fractional type set-valued functions which strictly includes the first one.

An extension of the class of set-valued ratios of affine functions

Babeş-Bolyai University, Faculty of Mathematics and Computer Sciences

General Mathematics

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

{"article-title":"An extension of the class of set-valued ratios of affine functions"}

The aim of this paper is to generalize the convexity preserving properties of sets by direct and inverse images initially stated for set-valued ratios of...

An extension of the class of set-valued ratios of affine functions

Publié en ligne: 24 nov. 2023

Pages: 55 - 64

Reçu: 07 janv. 2022

Accepté: 10 janv. 2022

DOI: https://doi.org/10.2478/gm-2022-0004

Mots clés
Fractional set-valued functions, set-valued ratios of affine functions, convexity preserving properties

© 2022 Alexandru Orzan, published by Sciendo

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

An extension of the class of set-valued ratios of affine functions

Publié en ligne: 24 nov. 2023

Pages: 55 - 64

Reçu: 07 janv. 2022

Accepté: 10 janv. 2022

DOI: https://doi.org/10.2478/gm-2022-0004

Mots clésFractional set-valued functions, set-valued ratios of affine functions, convexity preserving properties

© 2022 Alexandru Orzan, published by Sciendo

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

Mots clés
Fractional set-valued functions, set-valued ratios of affine functions, convexity preserving properties