Coupled fixed-point theorems for contractions in partially ordered metric spaces and applications
type: Item
instance of: scholarly article
title: Coupled fixed-point theorems for contractions in partially ordered metric spaces and applications
zbMATH Open document ID: 1264.54061
DOI: 10.1155/2012/150363
author: Yeol Je Cho
author: M. Ghods
author: M. Hadian Dehkordi
author: Madjid Eshaghi Gordji
author: S. Ghods
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: \textit{T. G. Bhaskar} and \textit{V. Lakshmikantham} [Nonlinear Anal., Theory Methods Appl. 65, No. 7, A, 1379--1393 (2006; Zbl 1106.47047)] showed the existence of coupled coincidence points of a mapping \(F\) from \(X \times X\) into \(X\) and a mapping \(g\) from \(X\) into \(X\) with some applications. The aim of this paper is to extend the results of Bhaskar and Lakshmikantham and improve the recent fixed-point theorems due to \textit{B. Samet} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 12, 4508--4517 (2010; Zbl 1264.54068)]. Indeed, we introduce the definition of generalized \(g\)-Meir-Keeler type contractions and prove some coupled fixed point theorems under a generalized \(g\)-Meir-Keeler-contractive condition. Also, some applications of the main results in this paper are given.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6173055
Wikidata QID: Q58912494
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/150363
OpenAlex ID: W2012658254
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description: scientific article; zbMATH DE number 6173055