Existence of common fuzzy fixed points via fuzzy F-contractions in b-metric spaces
© 2024. The Author(s)..
The main goal of this study is to establish common fuzzy fixed points in the context of complete b-metric spaces for a pair of fuzzy mappings that satisfy F-contractions. To strengthen the validity of the derived results, non-trivial examples are provided to substantiate the conclusions. Moreover, prior discoveries have been drawn as logical extensions from pertinent literature. Our findings are further reinforced and integrated by the numerous implications that this technique has in the literature. Using fixed point techniques to approximate the solutions of differential and integral equations is very useful. Specifically, in order to enhance the validity of our findings, the existence result of the system of non-linear Fredholm integral equations of second-kind is incorporated as an application.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2024 |
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| Erschienen: |
2024 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:14 |
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| Enthalten in: |
Scientific reports - 14(2024), 1 vom: 02. Apr., Seite 7807 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Kanwal, Shazia [VerfasserIn] |
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| Links: |
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| Themen: |
B-metric |
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| Anmerkungen: |
Date Revised 05.04.2024 published: Electronic Citation Status PubMed-not-MEDLINE |
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| doi: |
10.1038/s41598-024-58451-7 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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NLM370550625 |
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| 520 | |a © 2024. The Author(s). | ||
| 520 | |a The main goal of this study is to establish common fuzzy fixed points in the context of complete b-metric spaces for a pair of fuzzy mappings that satisfy F-contractions. To strengthen the validity of the derived results, non-trivial examples are provided to substantiate the conclusions. Moreover, prior discoveries have been drawn as logical extensions from pertinent literature. Our findings are further reinforced and integrated by the numerous implications that this technique has in the literature. Using fixed point techniques to approximate the solutions of differential and integral equations is very useful. Specifically, in order to enhance the validity of our findings, the existence result of the system of non-linear Fredholm integral equations of second-kind is incorporated as an application | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a F-contraction | |
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| 650 | 4 | |a Hausdorff metric | |
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| 700 | 1 | |a Waheed, Sana |e verfasserin |4 aut | |
| 700 | 1 | |a Rahimzai, Ariana Abdul |e verfasserin |4 aut | |
| 700 | 1 | |a Khan, Ilyas |e verfasserin |4 aut | |
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