Common coupled fixed point theorems for two hybrid pairs of mappings under \(\varphi\)-\(\psi\) contraction
type: Item
instance of: scholarly article
title: Common coupled fixed point theorems for two hybrid pairs of mappings under \(\varphi\)-\(\psi\) contraction
zbMATH Open document ID: 1490.54055
DOI: 10.1155/2014/608725
author: Bhavana Deshpande
author: Amrish Handa
published in: International Scholarly Research Notices. Mathematical Analysis
publication date: 2019-02-21T00:00:00Z
review text: Summary: We introduce the concept of (EA) property and occasional \(w\)-compatibility for hybrid pair \(F : X \times X \rightarrow 2^X\) and \(f : X \rightarrow X\). We also introduce common (EA) property for two hybrid pairs \(F, G : X \rightarrow 2^X\) and \(f, g : X \rightarrow X\). We establish some common coupled fixed point theorems for two hybrid pairs of mappings under \(\varphi\)-\(\psi\) contraction on noncomplete metric spaces. An example is also given to validate our results. We improve, extend and generalize several known results. The results of this paper generalize the common fixed point theorems for hybrid pairs of mappings and essentially contain fixed point theorems for hybrid pair of mappings.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 7027200
zbMATH Keywords: (EA) property
zbMATH Keywords: occasional \(w\)-compatibility
zbMATH Keywords: common coupled fixed point theorems
zbMATH Keywords: hybrid pairs of mappings
zbMATH Keywords: \(\varphi\)-\(\psi\) contraction
zbMATH Keywords: noncomplete metric space
Wikidata QID: Q42131740
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/608725
OpenAlex ID: W2005486304
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description: scientific article; zbMATH DE number 7027200