Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions
In this manuscript, motivated and inspired by results of Best proximity point of generalized F -proximal non-self contractions, we introduce the concept of generalized θ-φ-proximal contraction and prove new best proximity results for these contractions in the setting of a metric space. Our results g...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Ada Academica
2024-05-01
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| Series: | European Journal of Mathematical Analysis |
| Online Access: | https://adac.ee/index.php/ma/article/view/221 |
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| _version_ | 1850244578299346944 |
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| author | Mohamed Rossafi Abdelkarim Kari |
| author_facet | Mohamed Rossafi Abdelkarim Kari |
| author_sort | Mohamed Rossafi |
| collection | DOAJ |
| description | In this manuscript, motivated and inspired by results of Best proximity point of generalized F -proximal non-self contractions, we introduce the concept of generalized θ-φ-proximal contraction and prove new best proximity results for these contractions in the setting of a metric space. Our results generalize and extend many recent results appearing in the literature. An example is being given to demonstrate the usefulness of our results. |
| format | Article |
| id | doaj-art-993597566ed445878bbbe2c83bb4ef18 |
| institution | OA Journals |
| issn | 2733-3957 |
| language | English |
| publishDate | 2024-05-01 |
| publisher | Ada Academica |
| record_format | Article |
| series | European Journal of Mathematical Analysis |
| spelling | doaj-art-993597566ed445878bbbe2c83bb4ef182025-08-20T01:59:42ZengAda AcademicaEuropean Journal of Mathematical Analysis2733-39572024-05-014131310.28924/ada/ma.4.13221Best Proximity Point of Generalized θ-φ-Proximal Non-self ContractionsMohamed Rossafi0https://orcid.org/0000-0002-5662-6921Abdelkarim Kari1https://orcid.org/0000-0003-0088-9404Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdellah, Fes, MoroccoFaculty of Sciences Ben M’Sik, Hassan II University, Casablanca, MoroccoIn this manuscript, motivated and inspired by results of Best proximity point of generalized F -proximal non-self contractions, we introduce the concept of generalized θ-φ-proximal contraction and prove new best proximity results for these contractions in the setting of a metric space. Our results generalize and extend many recent results appearing in the literature. An example is being given to demonstrate the usefulness of our results.https://adac.ee/index.php/ma/article/view/221 |
| spellingShingle | Mohamed Rossafi Abdelkarim Kari Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions European Journal of Mathematical Analysis |
| title | Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions |
| title_full | Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions |
| title_fullStr | Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions |
| title_full_unstemmed | Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions |
| title_short | Best Proximity Point of Generalized θ-φ-Proximal Non-self Contractions |
| title_sort | best proximity point of generalized θ φ proximal non self contractions |
| url | https://adac.ee/index.php/ma/article/view/221 |
| work_keys_str_mv | AT mohamedrossafi bestproximitypointofgeneralizedthphproximalnonselfcontractions AT abdelkarimkari bestproximitypointofgeneralizedthphproximalnonselfcontractions |