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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2314-8888 |