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

Orzan, Alexandru

doi:10.2478/gm-2022-0004

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

General Mathematics

Volume 30 (2022): Issue 1 (June 2022)

By: Alexandru Orzan

Open Access

|Nov 2023

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.

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DOI: https://doi.org/10.2478/gm-2022-0004 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 55 - 64

Submitted on: Jan 7, 2022

Accepted on: Jan 10, 2022

Published on: Nov 24, 2023

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Fractional set-valued functions,

set-valued ratios of affine functions,

convexity preserving properties

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2023 Alexandru Orzan, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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