Fixed point theorems on ordered metric spaces through a rational contraction
type: Item
instance of: scholarly article
title: Fixed point theorems on ordered metric spaces through a rational contraction
zbMATH Open document ID: 1297.54090
DOI: 10.1155/2013/206515
author: Poom Kumam
author: Fayyaz Rouzkard
author: Dhananjay Gopal
author: Mohammad Imdad
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: Ran and Reurings (2004) established an interesting analogue of Banach Contraction Principle in a complete metric space equipped with a partial ordering and also utilized the same oneto discuss the existence of solutions to matrix equations. Motivated by this paper, we prove results on coincidence points for a pair of weakly increasing mappings satisfying a nonlinear contraction condition described by a rational expression on an ordered complete metric space. The uniqueness of common fixed point is also discussed. Some examples are furnished to demonstrate the validity of the hypotheses of our results. As an application, we derive an existence theorem for the solution of an integral equation.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6306527
Wikidata QID: Q58915547
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/206515
OpenAlex ID: W2070361651
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description: scientific article; zbMATH DE number 6306527