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

10.22075/ijnaa.2019.18535.2020

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