A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems

The article generalizes the notion of orthogonal fuzzy metric space into a broader term, named as orthogonal picture fuzzy metric space. The obtained results improve and extend the idea of the orthogonal fuzzy metric space and its related results. However, this article outstretches the above-mention...

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Main Authors: Khalil Javed, Awais Asif, Ekrem Savas
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/5863328
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author Khalil Javed
Awais Asif
Ekrem Savas
author_facet Khalil Javed
Awais Asif
Ekrem Savas
author_sort Khalil Javed
collection DOAJ
description The article generalizes the notion of orthogonal fuzzy metric space into a broader term, named as orthogonal picture fuzzy metric space. The obtained results improve and extend the idea of the orthogonal fuzzy metric space and its related results. However, this article outstretches the above-mentioned notion further into a newly defined concept, named as orthogonal picture fuzzy metric space. A detailed insight is given into the topic by presenting some fixed point results in the frame of the newly defined structure. To elaborate the results more precisely, some concrete examples are given.
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institution Kabale University
issn 2314-8888
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-1f1a547a175243b7a5b243fcae2a64882025-02-03T05:53:29ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5863328A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point TheoremsKhalil Javed0Awais Asif1Ekrem Savas2Department of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsThe article generalizes the notion of orthogonal fuzzy metric space into a broader term, named as orthogonal picture fuzzy metric space. The obtained results improve and extend the idea of the orthogonal fuzzy metric space and its related results. However, this article outstretches the above-mentioned notion further into a newly defined concept, named as orthogonal picture fuzzy metric space. A detailed insight is given into the topic by presenting some fixed point results in the frame of the newly defined structure. To elaborate the results more precisely, some concrete examples are given.http://dx.doi.org/10.1155/2022/5863328
spellingShingle Khalil Javed
Awais Asif
Ekrem Savas
A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems
Journal of Function Spaces
title A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems
title_full A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems
title_fullStr A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems
title_full_unstemmed A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems
title_short A Note on Orthogonal Fuzzy Metric Space, Its Properties, and Fixed Point Theorems
title_sort note on orthogonal fuzzy metric space its properties and fixed point theorems
url http://dx.doi.org/10.1155/2022/5863328
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AT ekremsavas anoteonorthogonalfuzzymetricspaceitspropertiesandfixedpointtheorems
AT khaliljaved noteonorthogonalfuzzymetricspaceitspropertiesandfixedpointtheorems
AT awaisasif noteonorthogonalfuzzymetricspaceitspropertiesandfixedpointtheorems
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