Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results

Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results

<p/> <p>In the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces. First, two fixed point theorems are proved for fuzzy order <inline-formula> <graphic file="1687-1812-2010-782680-i1.gif"/></inline-f...

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Main Authors: Mihe&#355; Dorel, Altun Ishak
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://www.fixedpointtheoryandapplications.com/content/2010/782680
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spelling doaj-f22f5f0d82094b5d93ef2df6d19a2a922020-11-24T22:16:23ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-0120101782680Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point ResultsMihe&#355; DorelAltun Ishak<p/> <p>In the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces. First, two fixed point theorems are proved for fuzzy order <inline-formula> <graphic file="1687-1812-2010-782680-i1.gif"/></inline-formula>-contractive type mappings. Then a common fixed point theorem is given for noncontractive type mappings. Kirk's problem on an extension of Caristi's theorem is also discussed.</p>http://www.fixedpointtheoryandapplications.com/content/2010/782680
collection DOAJ
language English
format Article
sources DOAJ
author Mihe&#355; Dorel
Altun Ishak
spellingShingle Mihe&#355; Dorel
Altun Ishak
Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results
Fixed Point Theory and Applications
author_facet Mihe&#355; Dorel
Altun Ishak
author_sort Mihe&#355; Dorel
title Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results
title_short Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results
title_full Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results
title_fullStr Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results
title_full_unstemmed Ordered Non-Archimedean Fuzzy Metric Spaces and Some Fixed Point Results
title_sort ordered non-archimedean fuzzy metric spaces and some fixed point results
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2010-01-01
description <p/> <p>In the present paper we provide two different kinds of fixed point theorems on ordered nonArchimedean fuzzy metric spaces. First, two fixed point theorems are proved for fuzzy order <inline-formula> <graphic file="1687-1812-2010-782680-i1.gif"/></inline-formula>-contractive type mappings. Then a common fixed point theorem is given for noncontractive type mappings. Kirk's problem on an extension of Caristi's theorem is also discussed.</p>
url http://www.fixedpointtheoryandapplications.com/content/2010/782680
work_keys_str_mv AT mihe355dorel orderednonarchimedeanfuzzymetricspacesandsomefixedpointresults
AT altunishak orderednonarchimedeanfuzzymetricspacesandsomefixedpointresults
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