Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs

© 2017 by the Mathematical Association of Thailand. All rights reserved. In this work, we present the notion of a G-proximal generalized contraction which is a development of well known mappings by Banach, Kannan, Chatterjea from self mappings to non-self mappings and we prove best proximity point t...

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Main Authors:	Chalongchai Klanarong, Suthep Suantai
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018971353&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57535
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-57535
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spelling	th-cmuir.6653943832-575352018-09-05T03:45:15Z Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs Chalongchai Klanarong Suthep Suantai Mathematics © 2017 by the Mathematical Association of Thailand. All rights reserved. In this work, we present the notion of a G-proximal generalized contraction which is a development of well known mappings by Banach, Kannan, Chatterjea from self mappings to non-self mappings and we prove best proximity point theorems for this mapping in a complete metric space endowed with a directed graph. Moreover, we apply our main theorems to prove an existence of coupled best proximity points in a complete metric space endowed with a directed graph. 2018-09-05T03:45:15Z 2018-09-05T03:45:15Z 2017-01-01 Journal 16860209 2-s2.0-85018971353 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018971353&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57535
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Chalongchai Klanarong Suthep Suantai Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs
description	© 2017 by the Mathematical Association of Thailand. All rights reserved. In this work, we present the notion of a G-proximal generalized contraction which is a development of well known mappings by Banach, Kannan, Chatterjea from self mappings to non-self mappings and we prove best proximity point theorems for this mapping in a complete metric space endowed with a directed graph. Moreover, we apply our main theorems to prove an existence of coupled best proximity points in a complete metric space endowed with a directed graph.
format	Journal
author	Chalongchai Klanarong Suthep Suantai
author_facet	Chalongchai Klanarong Suthep Suantai
author_sort	Chalongchai Klanarong
title	Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs
title_short	Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs
title_full	Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs
title_fullStr	Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs
title_full_unstemmed	Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs
title_sort	best proximity point theorems for g-proximageneralizedcontraction in complete metric spaces endowed with graphs
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018971353&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57535
_version_	1681424896856424448

Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs

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