Generalized proximal \(\psi\)-contraction mappings and best proximity points
type: Item
instance of: scholarly article
title: Generalized proximal \(\psi\)-contraction mappings and best proximity points
zbMATH Open document ID: 1387.54033
DOI: 10.1155/2012/896912
author: W. Sanhan
author: Chirasak Mongkolkeha
author: Poom Kumam
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: We generalize the notion of proximal contractions of the first and the second kinds and establish best proximity point theorems for these classes. Our results improve and extend recent result of \textit{S. Sadiq Basha} [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No.~17, 5844--5850 (2011; Zbl 1238.54021)] and some others.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 54E40
Mathematics Subject Classification ID: 54E50
zbMATH DE Number: 6116467
zbMATH Keywords: proximal contractions
zbMATH Keywords: best proximity point theorems
Wikidata QID: Q58697044
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/896912
OpenAlex ID: W2004754244
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description: scientific article; zbMATH DE number 6116467