Fixed-Point Theorem for Nonlinear F-Contraction via w-Distance
The aim of this paper is to introduce a notion of ϕ,F-contraction defined on a metric space with w-distance. Moreover, fixed-point theorems are given in this framework. As an application, we prove the existence and uniqueness of a solution for the nonlinear Fredholm integral equations. Some illustra...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2020/6617517 |
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| _version_ | 1850215071296258048 |
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| author | Abdelkarim Kari Mohamed Rossafi El Miloudi Marhrani Mohamed Aamri |
| author_facet | Abdelkarim Kari Mohamed Rossafi El Miloudi Marhrani Mohamed Aamri |
| author_sort | Abdelkarim Kari |
| collection | DOAJ |
| description | The aim of this paper is to introduce a notion of ϕ,F-contraction defined on a metric space with w-distance. Moreover, fixed-point theorems are given in this framework. As an application, we prove the existence and uniqueness of a solution for the nonlinear Fredholm integral equations. Some illustrative examples are provided to advocate the usability of our results. |
| format | Article |
| id | doaj-art-7e45076f6b9049898e4e0aa33ea42016 |
| institution | OA Journals |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7e45076f6b9049898e4e0aa33ea420162025-08-20T02:08:43ZengWileyAdvances in Mathematical Physics1687-91201687-91392020-01-01202010.1155/2020/66175176617517Fixed-Point Theorem for Nonlinear F-Contraction via w-DistanceAbdelkarim Kari0Mohamed Rossafi1El Miloudi Marhrani2Mohamed Aamri3Laboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoDepartment of Mathematics, University of Ibn Tofail, B.P. 133 Kenitra, MoroccoLaboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications Faculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoThe aim of this paper is to introduce a notion of ϕ,F-contraction defined on a metric space with w-distance. Moreover, fixed-point theorems are given in this framework. As an application, we prove the existence and uniqueness of a solution for the nonlinear Fredholm integral equations. Some illustrative examples are provided to advocate the usability of our results.http://dx.doi.org/10.1155/2020/6617517 |
| spellingShingle | Abdelkarim Kari Mohamed Rossafi El Miloudi Marhrani Mohamed Aamri Fixed-Point Theorem for Nonlinear F-Contraction via w-Distance Advances in Mathematical Physics |
| title | Fixed-Point Theorem for Nonlinear F-Contraction via w-Distance |
| title_full | Fixed-Point Theorem for Nonlinear F-Contraction via w-Distance |
| title_fullStr | Fixed-Point Theorem for Nonlinear F-Contraction via w-Distance |
| title_full_unstemmed | Fixed-Point Theorem for Nonlinear F-Contraction via w-Distance |
| title_short | Fixed-Point Theorem for Nonlinear F-Contraction via w-Distance |
| title_sort | fixed point theorem for nonlinear f contraction via w distance |
| url | http://dx.doi.org/10.1155/2020/6617517 |
| work_keys_str_mv | AT abdelkarimkari fixedpointtheoremfornonlinearfcontractionviawdistance AT mohamedrossafi fixedpointtheoremfornonlinearfcontractionviawdistance AT elmiloudimarhrani fixedpointtheoremfornonlinearfcontractionviawdistance AT mohamedaamri fixedpointtheoremfornonlinearfcontractionviawdistance |