An illusion: ``A Suzuki type coupled fixed point theorem''
type: Item
instance of: scholarly article
title: An illusion: ``A Suzuki type coupled fixed point theorem''
zbMATH Open document ID: 1469.54049
DOI: 10.1155/2014/235731
author: E. Karapinar
author: Hamed H. Alsulami
author: Marwan A. Kutbi
author: Antonio-Francisco Roldán-López-de-Hierro
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: We admonish to be careful on studying coupled fixed point theorems since most of the reported fixed point results can be easily derived from the existing corresponding theorems in the literature. In particular, we notice that the recent paper [\textit{P. Semwal} and \textit{R. C. Dimri}, ibid. 2014, Article ID 820482, 8 p. (2014; Zbl 1469.54184)] has gaps and the announced result is false. The authors claimed that their result generalized the main result in [\textit{D. Đorić} and \textit{R. Lazović}, Fixed Point Theory Appl. 2011, Paper No. 40, 8 p. (2011; Zbl 1274.54150)] but, in fact, the contrary case is true. Finally, we present a fixed point theorem for Suzuki type \((\alpha, r)\)-admissible contractions.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
zbMATH DE Number: 7021965
Wikidata QID: Q59036481
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/235731
OpenAlex ID: W2051191229
cites work: A Suzuki type coupled fixed point theorem for generalized multivalued mapping
cites work: Some Suzuki-type fixed point theorems for generalized multivalued mappings and applications
cites work: Discussion on some coupled fixed point theorems
cites work: Some remarks on multidimensional fixed point theorems
cites work: On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions
description: scientific article; zbMATH DE number 7021965