Best Proximity Point for Generalized and S-Geraphty Contractions
This paper introduces a new class of mappings called S-Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized contractions as well. Our results extend and...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/6659358 |
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| _version_ | 1832555016585478144 |
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| author | Abdelhafid Bassou Taoufik Sabar Mohamed Aamri |
| author_facet | Abdelhafid Bassou Taoufik Sabar Mohamed Aamri |
| author_sort | Abdelhafid Bassou |
| collection | DOAJ |
| description | This paper introduces a new class of mappings called S-Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized contractions as well. Our results extend and generalize some theorems in the literature. |
| format | Article |
| id | doaj-art-eb96f03d426245148679e205a3d7f67b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-eb96f03d426245148679e205a3d7f67b2025-02-03T05:49:49ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/66593586659358Best Proximity Point for Generalized and S-Geraphty ContractionsAbdelhafid Bassou0Taoufik Sabar1Mohamed Aamri2Laboratory of Algebra, Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B 7955 Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B 7955 Sidi Othmane, Casablanca, MoroccoLaboratory of Algebra, Analysis and Applications (L3A), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B 7955 Sidi Othmane, Casablanca, MoroccoThis paper introduces a new class of mappings called S-Geraphty-contractions and provides sufficient conditions for the existence and uniqueness of a best proximity point for such mappings. It also presents the best proximity point result for generalized contractions as well. Our results extend and generalize some theorems in the literature.http://dx.doi.org/10.1155/2021/6659358 |
| spellingShingle | Abdelhafid Bassou Taoufik Sabar Mohamed Aamri Best Proximity Point for Generalized and S-Geraphty Contractions Abstract and Applied Analysis |
| title | Best Proximity Point for Generalized and S-Geraphty Contractions |
| title_full | Best Proximity Point for Generalized and S-Geraphty Contractions |
| title_fullStr | Best Proximity Point for Generalized and S-Geraphty Contractions |
| title_full_unstemmed | Best Proximity Point for Generalized and S-Geraphty Contractions |
| title_short | Best Proximity Point for Generalized and S-Geraphty Contractions |
| title_sort | best proximity point for generalized and s geraphty contractions |
| url | http://dx.doi.org/10.1155/2021/6659358 |
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