Best Proximity Points Results for Cone Generalized Semi-Cyclic φ-Contraction Maps

Document Type : Research Articles

Authors

1 Deparment of Mathematics, Yazd University, Yazd, Iran

2 Department of Mathematics, Yazd University, Yazd, Iran

3 Guru Nanak Dev University, Amristar, India

Abstract

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

Keywords