Best Proximity Points Results for Cone Generalized Semi-Cyclic $\varphi-$Contraction Maps

Subject Areas : Applied Mathematics

Marzieh Ahmadi Baseri ¹ , Hamid Tehrani ² , T. D. Nrang ³

1 - Deparment of Mathematics, Yazd University, Yazd, Iran
2 - Department of Mathematics, Yazd University, Yazd, Iran
3 - Department of Mathematics, Guru Nanak Dev University, Amristar, India

Received: 2020-10-04 Accepted : 2020-11-24 Published : 2022-05-01

Keywords: Best proximity points, Normal cone metric spaces, $\varphi$-contraction maps, Cone metric spaces, Cone generalized semi-cyclic,

Abstract :

In this paper, we introduce a cone generalized semi-cyclic$\varphi-$contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric spaces. Our resultsgeneralize some results on the topic.