Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem
In this paper, we establish fixed point theorems for α-F-convex contraction mappings in b-metric space and prove the existence and uniqueness of fixed points for such mappings. Our result extends and generalizes comparable results in the existing literature. Finally, we provide an example in support...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5720558 |
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| _version_ | 1832560527635644416 |
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| author | Kitila Wirtu Geleta Kidane Koyas Tola Solomon Gebregiorgis Teweldemedhin |
| author_facet | Kitila Wirtu Geleta Kidane Koyas Tola Solomon Gebregiorgis Teweldemedhin |
| author_sort | Kitila Wirtu Geleta |
| collection | DOAJ |
| description | In this paper, we establish fixed point theorems for α-F-convex contraction mappings in b-metric space and prove the existence and uniqueness of fixed points for such mappings. Our result extends and generalizes comparable results in the existing literature. Finally, we provide an example in support of our main finding. |
| format | Article |
| id | doaj-art-723beaa065a7437daf460647a14048ef |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-723beaa065a7437daf460647a14048ef2025-02-03T01:27:21ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/57205585720558Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point TheoremKitila Wirtu Geleta0Kidane Koyas Tola1Solomon Gebregiorgis Teweldemedhin2Department of Mathematics and Jimma University, EthiopiaDepartment of Mathematics and Jimma University, EthiopiaDepartment of Mathematics and Jimma University, EthiopiaIn this paper, we establish fixed point theorems for α-F-convex contraction mappings in b-metric space and prove the existence and uniqueness of fixed points for such mappings. Our result extends and generalizes comparable results in the existing literature. Finally, we provide an example in support of our main finding.http://dx.doi.org/10.1155/2021/5720558 |
| spellingShingle | Kitila Wirtu Geleta Kidane Koyas Tola Solomon Gebregiorgis Teweldemedhin Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem Journal of Function Spaces |
| title | Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem |
| title_full | Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem |
| title_fullStr | Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem |
| title_full_unstemmed | Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem |
| title_short | Alpha-F-Convex Contraction Mappings in b-Metric Space and a Related Fixed Point Theorem |
| title_sort | alpha f convex contraction mappings in b metric space and a related fixed point theorem |
| url | http://dx.doi.org/10.1155/2021/5720558 |
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