Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spaces

This paper introduces the concept of set-valued almost $ \Upsilon $-contractions in $ \mathcal{F} $-metric spaces, aiming to obtain the best proximity point results for set-valued mappings. The newly proposed idea of set-valued almost $ \Upsilon $-contractions includes various contractive conditions...

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Main Author: Amer Hassan Albargi
Format: Article
Language:English
Published: AIMS Press 2024-11-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20241612
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author Amer Hassan Albargi
author_facet Amer Hassan Albargi
author_sort Amer Hassan Albargi
collection DOAJ
description This paper introduces the concept of set-valued almost $ \Upsilon $-contractions in $ \mathcal{F} $-metric spaces, aiming to obtain the best proximity point results for set-valued mappings. The newly proposed idea of set-valued almost $ \Upsilon $-contractions includes various contractive conditions like set-valued almost contractions, set-valued $ \Upsilon $-contractions, and traditional $ \Upsilon $-contractions. Consequently, the results presented here extend and unify numerous established works in this domain. To illustrate the practical significance of the theoretical findings, a specific example is provided.
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institution Kabale University
issn 2473-6988
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spelling doaj-art-0e1bd249deb943b8b8a3dede484ce6ed2025-01-23T07:53:24ZengAIMS PressAIMS Mathematics2473-69882024-11-01912338003381710.3934/math.20241612Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spacesAmer Hassan Albargi0Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaThis paper introduces the concept of set-valued almost $ \Upsilon $-contractions in $ \mathcal{F} $-metric spaces, aiming to obtain the best proximity point results for set-valued mappings. The newly proposed idea of set-valued almost $ \Upsilon $-contractions includes various contractive conditions like set-valued almost contractions, set-valued $ \Upsilon $-contractions, and traditional $ \Upsilon $-contractions. Consequently, the results presented here extend and unify numerous established works in this domain. To illustrate the practical significance of the theoretical findings, a specific example is provided.https://www.aimspress.com/article/doi/10.3934/math.20241612best proximity pointsset-valued almost $ \upsilon $-contractions$ \mathcal{f} $-metric spacesfixed points
spellingShingle Amer Hassan Albargi
Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spaces
AIMS Mathematics
best proximity points
set-valued almost $ \upsilon $-contractions
$ \mathcal{f} $-metric spaces
fixed points
title Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spaces
title_full Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spaces
title_fullStr Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spaces
title_full_unstemmed Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spaces
title_short Set-valued mappings and best proximity points: A study in $ \mathcal{F} $-metric spaces
title_sort set valued mappings and best proximity points a study in mathcal f metric spaces
topic best proximity points
set-valued almost $ \upsilon $-contractions
$ \mathcal{f} $-metric spaces
fixed points
url https://www.aimspress.com/article/doi/10.3934/math.20241612
work_keys_str_mv AT amerhassanalbargi setvaluedmappingsandbestproximitypointsastudyinmathcalfmetricspaces