Existence of Best Proximity Point with an Application to Nonlinear Integral Equations

Shagun Sharma, Sumit Chandok and Huseyin Isik

Journal of Mathematics, 2021, vol. 2021, 1-7

Abstract: Using the idea of modified ϱ-proximal admissible mappings, we derive some new best proximity point results for ϱ−ϑ-contraction mappings in metric spaces. We also provide some illustrations to back up our work. As a result of our findings, several fixed-point results for such mappings are also found. We obtain the existence of a solution for nonlinear integral equations as an application.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:3886659

DOI: 10.1155/2021/3886659

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