The existence theorem of a new multi-valued mapping in metric space endowed with graph

© 2018, SINUS Association. All rights reserved. In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point...

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Main Authors: Araya Kheawborisut, Suthep Suantai, Atid Kangtunyakarn
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/47017
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Institution: Chiang Mai University
id th-cmuir.6653943832-47017
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spelling th-cmuir.6653943832-470172018-04-25T07:31:20Z The existence theorem of a new multi-valued mapping in metric space endowed with graph Araya Kheawborisut Suthep Suantai Atid Kangtunyakarn Agricultural and Biological Sciences © 2018, SINUS Association. All rights reserved. In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present. 2018-04-25T07:09:31Z 2018-04-25T07:09:31Z 2017-01-01 Journal 18434401 15842851 2-s2.0-85042228395 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042228395&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47017
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
Araya Kheawborisut
Suthep Suantai
Atid Kangtunyakarn
The existence theorem of a new multi-valued mapping in metric space endowed with graph
description © 2018, SINUS Association. All rights reserved. In this paper, we introduce a new type of multi-valued G-contraction mapping on a metric space endowed with a directed graph G and prove an existence theorem for fixed point problems in metric space endowed with a graph. Moreover, we prove fixed point theorems in partially ordered metric spaces by our main result. Some examples illustrating our main results are also present.
format Journal
author Araya Kheawborisut
Suthep Suantai
Atid Kangtunyakarn
author_facet Araya Kheawborisut
Suthep Suantai
Atid Kangtunyakarn
author_sort Araya Kheawborisut
title The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_short The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_full The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_fullStr The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_full_unstemmed The existence theorem of a new multi-valued mapping in metric space endowed with graph
title_sort existence theorem of a new multi-valued mapping in metric space endowed with graph
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85042228395&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47017
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