Existence of common fixed point for b-metric rational type contraction-Reference-Cited by-同舟云学术

Existence of common fixed point for b-metric rational type contraction

Published:2016 Issue:6 Volume:30 Page:1413-1429
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Abbas Mujahid¹,Chema Imran²,Razani Abdolrahman³

Affiliation:

1. University of Pretoria, Department of Mathematics and Applied Mathematics, Pretoria, South Africa + King Abdulaziz University, Department of Mathematics, Jeddah, Saudi Arabia

2. COMSATS Institute of Information Technology, Department of Mathematics, Lahore, Pakistan

3. Imam Khomeini International University, Faculty of Science, Department of Mathematics, Qazvin, Iran

Abstract

The necessary conditions for existence of a common fixed point of two mappings satisfying generalized b-order contractive condition in the setting of a partially ordered b-complete b-metric space are presented. Also, we study well-posedness of common fixed point problem for generalized b-order contractive mappings. We employ our result to establish an existence of a solution of an integral equation.

Publisher

National Library of Serbia

Subject

General Mathematics

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