Fixed Point Results for α,⊥F-Contractions in Orthogonal F-Metric Spaces with Applications

The main objective of this article is to introduce the notion of α,⊥F-contraction in the setting of orthogonal F-metric space and present some new fixed point results in such newly introduced space. We also furnish an example to manifest the originality of the obtained results. As application of our...

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Main Authors: Jamshaid Ahmad, Ahmed Saleh Al-Rawashdeh, Abdullah Eqal Al-Mazrooei
Format: Article
Language:English
Published: Hindawi Limited 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/8532797
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author Jamshaid Ahmad
Ahmed Saleh Al-Rawashdeh
Abdullah Eqal Al-Mazrooei
author_facet Jamshaid Ahmad
Ahmed Saleh Al-Rawashdeh
Abdullah Eqal Al-Mazrooei
author_sort Jamshaid Ahmad
collection DOAJ
description The main objective of this article is to introduce the notion of α,⊥F-contraction in the setting of orthogonal F-metric space and present some new fixed point results in such newly introduced space. We also furnish an example to manifest the originality of the obtained results. As application of our foremost result, we look into the solution of a nonlinear fractional differential equation.
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spelling doaj.art-71bc40188b6047a694054ebde99f721b2022-12-22T04:25:48ZengHindawi LimitedJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8532797Fixed Point Results for α,⊥F-Contractions in Orthogonal F-Metric Spaces with ApplicationsJamshaid Ahmad0Ahmed Saleh Al-Rawashdeh1Abdullah Eqal Al-Mazrooei2Department of MathematicsDepartment of Mathematical SciencesDepartment of MathematicsThe main objective of this article is to introduce the notion of α,⊥F-contraction in the setting of orthogonal F-metric space and present some new fixed point results in such newly introduced space. We also furnish an example to manifest the originality of the obtained results. As application of our foremost result, we look into the solution of a nonlinear fractional differential equation.http://dx.doi.org/10.1155/2022/8532797
spellingShingle Jamshaid Ahmad
Ahmed Saleh Al-Rawashdeh
Abdullah Eqal Al-Mazrooei
Fixed Point Results for α,⊥F-Contractions in Orthogonal F-Metric Spaces with Applications
Journal of Function Spaces
title Fixed Point Results for α,⊥F-Contractions in Orthogonal F-Metric Spaces with Applications
title_full Fixed Point Results for α,⊥F-Contractions in Orthogonal F-Metric Spaces with Applications
title_fullStr Fixed Point Results for α,⊥F-Contractions in Orthogonal F-Metric Spaces with Applications
title_full_unstemmed Fixed Point Results for α,⊥F-Contractions in Orthogonal F-Metric Spaces with Applications
title_short Fixed Point Results for α,⊥F-Contractions in Orthogonal F-Metric Spaces with Applications
title_sort fixed point results for α ⊥f contractions in orthogonal f metric spaces with applications
url http://dx.doi.org/10.1155/2022/8532797
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AT ahmedsalehalrawashdeh fixedpointresultsforafcontractionsinorthogonalfmetricspaceswithapplications
AT abdullaheqalalmazrooei fixedpointresultsforafcontractionsinorthogonalfmetricspaceswithapplications