Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces-Reference-Cited by-同舟云学术

Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces

Published:2015 Issue: Volume:2015 Page:1-11
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Abbas Mujahid¹²^ORCID,De la Sen Manuel³,Nazir Talat⁴^ORCID

Affiliation:

1. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

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

3. Institute of Research and Development of Process (IIDP), Faculty of Science and Technology, University of the Basque Country, 48940 Leioa, Spain

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

Abstract

We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.

Funder

Ministerio de Economía y Competitividad

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2015/147303.pdf

Reference28 articles.

1. Principle of Weakly Contractive Maps in Hilbert Spaces

2. Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition

3. Some theorems on weakly contractive maps