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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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | AIMS Mathematics |
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| 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. |
| format | Article |
| id | doaj-art-0e1bd249deb943b8b8a3dede484ce6ed |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| 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 |