Modified proof of Caristi's fixed point theorem on partial metric spaces

In this paper, lower semi-continuous functions are used to modify the proof of Caristi's fixed point theorems on partial metric spaces. We prove a new type of fixed point theorems in complete partial metric spaces, and then generalize them to metric spaces. Some more general results are also ob...

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Main Author: Chakkrid Klin-Eam
Other Authors: Naresuan University
Format: Article
Published: 2018
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Online Access:https://repository.li.mahidol.ac.th/handle/123456789/32018
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spelling th-mahidol.320182018-10-19T12:09:26Z Modified proof of Caristi's fixed point theorem on partial metric spaces Chakkrid Klin-Eam Naresuan University Mahidol University Mathematics In this paper, lower semi-continuous functions are used to modify the proof of Caristi's fixed point theorems on partial metric spaces. We prove a new type of fixed point theorems in complete partial metric spaces, and then generalize them to metric spaces. Some more general results are also obtained on partial metric spaces. © 2013 Klin-eam; licensee Springer. 2018-10-19T05:09:26Z 2018-10-19T05:09:26Z 2013-07-08 Article Journal of Inequalities and Applications. Vol.2013, (2013) 10.1186/1029-242X-2013-210 1029242X 10255834 2-s2.0-84879651119 https://repository.li.mahidol.ac.th/handle/123456789/32018 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84879651119&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Chakkrid Klin-Eam
Modified proof of Caristi's fixed point theorem on partial metric spaces
description In this paper, lower semi-continuous functions are used to modify the proof of Caristi's fixed point theorems on partial metric spaces. We prove a new type of fixed point theorems in complete partial metric spaces, and then generalize them to metric spaces. Some more general results are also obtained on partial metric spaces. © 2013 Klin-eam; licensee Springer.
author2 Naresuan University
author_facet Naresuan University
Chakkrid Klin-Eam
format Article
author Chakkrid Klin-Eam
author_sort Chakkrid Klin-Eam
title Modified proof of Caristi's fixed point theorem on partial metric spaces
title_short Modified proof of Caristi's fixed point theorem on partial metric spaces
title_full Modified proof of Caristi's fixed point theorem on partial metric spaces
title_fullStr Modified proof of Caristi's fixed point theorem on partial metric spaces
title_full_unstemmed Modified proof of Caristi's fixed point theorem on partial metric spaces
title_sort modified proof of caristi's fixed point theorem on partial metric spaces
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/32018
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