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

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: Klanarong C., Suantai S.
Format: Journal
Published: 2017
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018971353&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/40952
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-409522017-09-28T04:14:41Z Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs Klanarong C. Suantai S. © 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. 2017-09-28T04:14:41Z 2017-09-28T04:14:41Z 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/6653943832/40952
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
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 Klanarong C.
Suantai S.
spellingShingle Klanarong C.
Suantai S.
Best proximity point theorems for G-proximageneralizedcontraction in complete metric spaces endowed with graphs
author_facet Klanarong C.
Suantai S.
author_sort Klanarong C.
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 2017
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85018971353&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/40952
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