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

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  • Shagun Sharma
  • Sumit Chandok
  • Huseyin Isik

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.

Suggested Citation

  • Shagun Sharma & Sumit Chandok & Huseyin Isik, 2021. "Existence of Best Proximity Point with an Application to Nonlinear Integral Equations," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, October.
    • Handle: RePEc:hin:jjmath:3886659
    DOI: 10.1155/2021/3886659
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