A note on best proximity point theorems under weak \(P\)-property
type: Item
instance of: scholarly article
title: A note on best proximity point theorems under weak \(P\)-property
zbMATH Open document ID: 1478.54036
DOI: 10.1155/2014/716825
author: Angel Almeida
author: E. Karapinar
author: K. Sadarangani
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: In the very recent paper of \textit{A. Abkar} and \textit{M. Gabeleh} [Abstr. Appl. Anal. 2013, Article ID 189567, 3 p. (2013; Zbl 1297.54076)], by using the notion of \(P\)-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line, in this paper, we prove that these results can be obtained under a weaker condition, namely, weak \(P\)-property.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7022937
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/716825
OpenAlex ID: W2028492650
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cites work: Some theorems on weakly contractive maps.
cites work: Generalized contractions and applications
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cites work: On best proximity points under the \(P\)-property on partially ordered metric spaces
Wikidata QID: Q59040864
description: scientific article; zbMATH DE number 7022937