International Journal of Nonlinear Analysis and Applications

New common best proximity point theorems in complete metric space with weak $P$-property

Document Type : Research Paper

Authors

1 Department of Mathematics, Quchan University of Technology, Quchan, Iran

2 Department of pure Mathematics, Shahrood University of Tehnology, Shahrood, Iran

Abstract

In this paper, we define $\phi$-contraction, after that; we obtained the common best proximity point results for different types of contractions in the setting of complete metric spaces by using weak p-property and proved the uniqueness of these points. Also, we presented an example to support our results.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 1289-1297
  • Receive Date: 24 August 2019
  • Revise Date: 31 October 2019
  • Accept Date: 01 November 2019