Suzuki-Type Fixed Point Results in Metric-Like Spaces

We demonstrate a fundamental lemma for the convergence of sequences in metric-like spaces, and by using it we prove some Suzuki-type …fixed point results in the setup of metric-like spaces. As an immediate consequence of our results we obtain certain recent results in partial metric spaces as coroll...

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Main Authors: Nabiollah Shobkolaei, Shaban Sedghi, Jamal Rezaei Roshan, Nawab Hussain
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/143686
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author Nabiollah Shobkolaei
Shaban Sedghi
Jamal Rezaei Roshan
Nawab Hussain
author_facet Nabiollah Shobkolaei
Shaban Sedghi
Jamal Rezaei Roshan
Nawab Hussain
author_sort Nabiollah Shobkolaei
collection DOAJ
description We demonstrate a fundamental lemma for the convergence of sequences in metric-like spaces, and by using it we prove some Suzuki-type …fixed point results in the setup of metric-like spaces. As an immediate consequence of our results we obtain certain recent results in partial metric spaces as corollaries. Finally, three examples are presented to verify the effectiveness and applicability of our main results.
format Article
id doaj-art-fac7215c1fb0410db471d8943e668cd5
institution OA Journals
issn 0972-6802
1758-4965
language English
publishDate 2013-01-01
publisher Wiley
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series Journal of Function Spaces and Applications
spelling doaj-art-fac7215c1fb0410db471d8943e668cd52025-08-20T02:22:37ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/143686143686Suzuki-Type Fixed Point Results in Metric-Like SpacesNabiollah Shobkolaei0Shaban Sedghi1Jamal Rezaei Roshan2Nawab Hussain3Department of Mathematics, Babol Branch, Islamic Azad University, Babol, IranDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranDepartment of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, IranDepartment of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe demonstrate a fundamental lemma for the convergence of sequences in metric-like spaces, and by using it we prove some Suzuki-type …fixed point results in the setup of metric-like spaces. As an immediate consequence of our results we obtain certain recent results in partial metric spaces as corollaries. Finally, three examples are presented to verify the effectiveness and applicability of our main results.http://dx.doi.org/10.1155/2013/143686
spellingShingle Nabiollah Shobkolaei
Shaban Sedghi
Jamal Rezaei Roshan
Nawab Hussain
Suzuki-Type Fixed Point Results in Metric-Like Spaces
Journal of Function Spaces and Applications
title Suzuki-Type Fixed Point Results in Metric-Like Spaces
title_full Suzuki-Type Fixed Point Results in Metric-Like Spaces
title_fullStr Suzuki-Type Fixed Point Results in Metric-Like Spaces
title_full_unstemmed Suzuki-Type Fixed Point Results in Metric-Like Spaces
title_short Suzuki-Type Fixed Point Results in Metric-Like Spaces
title_sort suzuki type fixed point results in metric like spaces
url http://dx.doi.org/10.1155/2013/143686
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AT shabansedghi suzukitypefixedpointresultsinmetriclikespaces
AT jamalrezaeiroshan suzukitypefixedpointresultsinmetriclikespaces
AT nawabhussain suzukitypefixedpointresultsinmetriclikespaces