Title of article :
New common best proximity point theorems in complete metric space with weak P-property
Author/Authors :
Ganjbakhsh Sanatee, Ali Department of Mathematics - Quchan University of Technology, Quchan , Iranmanesh, Mahdi Department of pure Mathematics - Shahrood University of Tehnology, Shahrood
Abstract :
In this paper, we define ϕ-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 :
common best proximity point , weak P-property , phi-contraction
Journal title :
International Journal of Nonlinear Analysis and Applications