Coupled common fixed point results in ordered \(S\)-metric spaces
type: Item
instance of: scholarly article
title: Coupled common fixed point results in ordered \(S\)-metric spaces
zbMATH Open document ID: 1489.54128
author: Animesh Gupta
published in: Asia Pacific Journal of Mathematics
publication date: 2016-10-12T00:00:00Z
full work available at URL: 1-1-6.pdf
review text: Summary: The notion of coupled fixed point theorem introduced by \textit{T. G. Bhaskar} and \textit{V. Lakshmikantham} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 65, No. 7, 1379--1393 (2006; Zbl 1106.47047)] and \textit{S. Sedghi} et al. [Mat. Vesn. 64, No. 3, 258--266 (2012; Zbl 1289.54158)] introduced the concept of \(S\)-metric space. Our aim of this article is to extend the concept of coupled fixed point in \(S\)-metric space and prove a coupled coincidence and common fixed point theorems for commuting mappings with mixed \(g\)-monotone property in partially ordered \(S\)-metric spaces. We also give some examples in support of our theorem.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 54F05
zbMATH DE Number: 6637953
zbMATH Keywords: coupled coincidence point
zbMATH Keywords: coupled fixed point
zbMATH Keywords: mixed \(g\)-monotone
zbMATH Keywords: mixed monotone
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 6637953