Caristi fixed point theorem in metric spaces with a graph and its applications

© 2016. The purpose of this paper is to generalize Caristi's fixed point theorem in metric space with a directed graph and w-distance. We discuss Caristi's fixed point theorem for mappings defined on a complete metric space endowed with a directed graph and w-distance and we apply our main...

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Main Authors: Phikul Sridarat, Suthep Suantai
Format: Journal
Published: 2018
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http://cmuir.cmu.ac.th/jspui/handle/6653943832/55964
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Institution: Chiang Mai University
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spelling th-cmuir.6653943832-559642018-09-05T03:06:38Z Caristi fixed point theorem in metric spaces with a graph and its applications Phikul Sridarat Suthep Suantai Mathematics © 2016. The purpose of this paper is to generalize Caristi's fixed point theorem in metric space with a directed graph and w-distance. We discuss Caristi's fixed point theorem for mappings defined on a complete metric space endowed with a directed graph and w-distance and we apply our main result to obtain coupled fixed point theorems in a complete metric space endowed with a directed graph and in a partially ordered complete metric space. 2018-09-05T03:06:38Z 2018-09-05T03:06:38Z 2016-01-01 Journal 18805221 13454773 2-s2.0-85011976059 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85011976059&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/55964
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
topic Mathematics
spellingShingle Mathematics
Phikul Sridarat
Suthep Suantai
Caristi fixed point theorem in metric spaces with a graph and its applications
description © 2016. The purpose of this paper is to generalize Caristi's fixed point theorem in metric space with a directed graph and w-distance. We discuss Caristi's fixed point theorem for mappings defined on a complete metric space endowed with a directed graph and w-distance and we apply our main result to obtain coupled fixed point theorems in a complete metric space endowed with a directed graph and in a partially ordered complete metric space.
format Journal
author Phikul Sridarat
Suthep Suantai
author_facet Phikul Sridarat
Suthep Suantai
author_sort Phikul Sridarat
title Caristi fixed point theorem in metric spaces with a graph and its applications
title_short Caristi fixed point theorem in metric spaces with a graph and its applications
title_full Caristi fixed point theorem in metric spaces with a graph and its applications
title_fullStr Caristi fixed point theorem in metric spaces with a graph and its applications
title_full_unstemmed Caristi fixed point theorem in metric spaces with a graph and its applications
title_sort caristi fixed point theorem in metric spaces with a graph and its applications
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85011976059&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/55964
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