A New Approach to the Existence of Best Proximity Points With R-Functions in the Framework of w-Distances
In this paper, we present a new approach to check the existence of best proximity points for R-proximal contractions in the framework of metric spaces equipped with a w0-distance and present elementary proofs of recent results by using the corresponding fixed point problems without the continuity as...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2024/4319042 |
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| _version_ | 1849395555786031104 |
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| author | Moosa Gabeleh Akram Safari-Hafshejani Jack Markin |
| author_facet | Moosa Gabeleh Akram Safari-Hafshejani Jack Markin |
| author_sort | Moosa Gabeleh |
| collection | DOAJ |
| description | In this paper, we present a new approach to check the existence of best proximity points for R-proximal contractions in the framework of metric spaces equipped with a w0-distance and present elementary proofs of recent results by using the corresponding fixed point problems without the continuity assumption of the considered self-mapping. We also discuss on cyclic Geraghty contractions and resolve the problem of the existence and convergence of the best proximity point for such a class of mappings. |
| format | Article |
| id | doaj-art-aa7f507725b44c45800cc1cda69e6fca |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-aa7f507725b44c45800cc1cda69e6fca2025-08-20T03:39:35ZengWileyJournal of Function Spaces2314-88882024-01-01202410.1155/2024/4319042A New Approach to the Existence of Best Proximity Points With R-Functions in the Framework of w-DistancesMoosa Gabeleh0Akram Safari-Hafshejani1Jack Markin2Department of MathematicsDepartment of Pure MathematicsRetiredIn this paper, we present a new approach to check the existence of best proximity points for R-proximal contractions in the framework of metric spaces equipped with a w0-distance and present elementary proofs of recent results by using the corresponding fixed point problems without the continuity assumption of the considered self-mapping. We also discuss on cyclic Geraghty contractions and resolve the problem of the existence and convergence of the best proximity point for such a class of mappings.http://dx.doi.org/10.1155/2024/4319042 |
| spellingShingle | Moosa Gabeleh Akram Safari-Hafshejani Jack Markin A New Approach to the Existence of Best Proximity Points With R-Functions in the Framework of w-Distances Journal of Function Spaces |
| title | A New Approach to the Existence of Best Proximity Points With R-Functions in the Framework of w-Distances |
| title_full | A New Approach to the Existence of Best Proximity Points With R-Functions in the Framework of w-Distances |
| title_fullStr | A New Approach to the Existence of Best Proximity Points With R-Functions in the Framework of w-Distances |
| title_full_unstemmed | A New Approach to the Existence of Best Proximity Points With R-Functions in the Framework of w-Distances |
| title_short | A New Approach to the Existence of Best Proximity Points With R-Functions in the Framework of w-Distances |
| title_sort | new approach to the existence of best proximity points with r functions in the framework of w distances |
| url | http://dx.doi.org/10.1155/2024/4319042 |
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