Common fixed point results for a banach operator pair in cat(0) spaces with applications

Year 2017, Volume: 66 Issue: 2, 195 - 204, 01.08.2017

Safeer Hussain Khan Mujahid Abbas

https://doi.org/10.1501/Commua1_0000000811

Cited By: 1

Abstract

In this paper, sufficient conditions for the existence of a common fixed point for a Banach operator pair of mappings satisfying generalized contractive conditions in the frame work of CAT(0) spaces are obtained. As an application, related results on best approximation are derived. Our results generalize various known results in contemporary literature

Keywords

CAT(0) space, common fixed point, best approximation, Banach

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• Current address : Safeer Hussain Khan: Department of Mathematics, Statistics and Physics, Qatar University, Doha 2713, Qatar.
• E-mail address : [e-mail]; [e-mail] Current address : Mujahid Abbas: Department of Mathematics, University of Management and Technology, C-II, Johar Town, Lahore, Pakistan. and Department of Mathematics, University of Jeddah, P. O. Box 80327, Jeddah 21589, Saudi Arabia.
• E-mail address : [e-mail]