Common coupled fixed point theorem for Geraghty-type contraction in partially ordered metric spaces
type: Item
instance of: scholarly article
title: Common coupled fixed point theorem for Geraghty-type contraction in partially ordered metric spaces
DOI: 10.1155/2018/9063267
author: Mi Zhou
author: Boško Damjanović
author: Xiaolan Liu
published in: Journal of Function Spaces
publication date: 2018-05-15T00:00:00Z
review text: Summary: We study the existence and uniqueness of common coupled fixed point of four self-mappings for Geraghty-type contraction using weakly compatible mappings in partially ordered metric spaces with common limit range property (denoted by \((\operatorname{CLR}_{\operatorname{ST}})\)), the property of E.A, and so on. It is noted that the continuity of mappings and completeness of spaces can be removed. Our results improve, extend, complement, and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results.
Mathematics Subject Classification ID: 47-XX
zbMATH DE Number: 6868714
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9063267
OpenAlex ID: W2790924386
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description: scientific article; zbMATH DE number 6868714