Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces. (9th July 2015)

• Record Type: Journal Article
• Authors: Abbas, Mujahid; De la Sen, Manuel; Nazir, Talat
• Other Names: Rachůnková Irena Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-07-09
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/532725
• Languages: English
• ISSNs: 1026-0226

Abstract

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.