Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces-Reference-Cited by-同舟云学术

Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces

Published:2015 Issue: Volume:2015 Page:1-10
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Abbas Mujahid¹^ORCID,De la Sen Manuel²,Nazir Talat³⁴^ORCID

Affiliation:

1. Department of Mathematics and Applied Mathematics, University Pretoria, Lynnwood Road, Pretoria 0002, South Africa

2. Institute of Research and Development of Process IIDP, Faculty of Science and Technology, University of the Basque Country, Spain

3. Division of Applied Mathematics, School of Education, Culture & Communication, Mälardalen University, 72123 Västerås, Sweden

4. Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, Pakistan

Abstract

The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.

Funder

Spanish Ministry of Economy and Competitiveness

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/532725.pdf

Reference24 articles.

1. Fixed point theory for cyclic weak ϕ-contraction

2. Some theorems on weakly contractive maps

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