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:	Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018971353&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47010
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-47010
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spelling	th-cmuir.6653943832-470102018-04-25T07:29:40Z Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs Chalongchai Klanarong Suthep Suantai Agricultural and Biological Sciences © 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. 2018-04-25T07:09:17Z 2018-04-25T07:09:17Z 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/6653943832/47010
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Agricultural and Biological Sciences
spellingShingle	Agricultural and Biological Sciences 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/6653943832/47010
_version_	1681422981176229888

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

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