Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings
The newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced. The existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are inves...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6687238 |
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| author | A. P. Farajzadeh M. Delfani Y. H. Wang |
| author_facet | A. P. Farajzadeh M. Delfani Y. H. Wang |
| author_sort | A. P. Farajzadeh |
| collection | DOAJ |
| description | The newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced. The existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are investigated. The results of this article can be viewed as an improvement of the main results given in the references. |
| format | Article |
| id | doaj-art-cf437475b8144b8081dd3ad8433c067e |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-cf437475b8144b8081dd3ad8433c067e2025-02-03T01:25:25ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66872386687238Existence and Uniqueness of Fixed Points of Generalized F-Contraction MappingsA. P. Farajzadeh0M. Delfani1Y. H. Wang2Department of Mathematics, Razi University, Kermanshah 67149, IranDepartment of Mathematics, Razi University, Kermanshah 67149, IranDepartment of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, ChinaThe newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced. The existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are investigated. The results of this article can be viewed as an improvement of the main results given in the references.http://dx.doi.org/10.1155/2021/6687238 |
| spellingShingle | A. P. Farajzadeh M. Delfani Y. H. Wang Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings Journal of Mathematics |
| title | Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings |
| title_full | Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings |
| title_fullStr | Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings |
| title_full_unstemmed | Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings |
| title_short | Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings |
| title_sort | existence and uniqueness of fixed points of generalized f contraction mappings |
| url | http://dx.doi.org/10.1155/2021/6687238 |
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