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 |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241612 |
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| Summary: | 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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| ISSN: | 2473-6988 |