The existence theorems of an optimal approximate solution for generalized proximal contraction mappings
type: Item
instance of: scholarly article
title: The existence theorems of an optimal approximate solution for generalized proximal contraction mappings
zbMATH Open document ID: 1297.54106
DOI: 10.1155/2013/375604
author: Wutiphol Sintunavarat
author: Poom Kumam
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: Recently, Basha (2011) established the best proximity point theorems for proximal contractions of the first and second kinds which are extension of Banach's contraction principle in the case of non-self-mappings. The aim of this paper is to extend and generalize the notions of proximal contractions of the first and second kinds which are more general than the notion of self-contractions, establish the existence of an optimal approximate solution theorems for these non-self-mappings, and also give examples to validate our main results.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 6306706
Wikidata QID: Q58916086
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/375604
OpenAlex ID: W2072989674
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description: scientific article; zbMATH DE number 6306706