Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications

In this paper, we introduce the concept of generalized orthogonal F-Suzuki contraction mapping and prove some fixed point theorems on orthogonal b-metric spaces. Our results generalize and extend some of the well-known results in the existing literature. As an application of our results, we show the...

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Main Authors: Ismat Beg, Gunaseelan Mani, Arul Joseph Gnanaprakasam
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/6692112
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spelling doaj-43dd182ffab645aba8d8dc91d8ffb01a2021-03-22T00:04:15ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/6692112Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with ApplicationsIsmat Beg0Gunaseelan Mani1Arul Joseph Gnanaprakasam2Centre for Mathematics and Statistical SciencesDepartment of MathematicsDepartment of MathematicsIn this paper, we introduce the concept of generalized orthogonal F-Suzuki contraction mapping and prove some fixed point theorems on orthogonal b-metric spaces. Our results generalize and extend some of the well-known results in the existing literature. As an application of our results, we show the existence of a unique solution of the first-order ordinary differential equation.http://dx.doi.org/10.1155/2021/6692112
collection DOAJ
language English
format Article
sources DOAJ
author Ismat Beg
Gunaseelan Mani
Arul Joseph Gnanaprakasam
spellingShingle Ismat Beg
Gunaseelan Mani
Arul Joseph Gnanaprakasam
Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications
Journal of Function Spaces
author_facet Ismat Beg
Gunaseelan Mani
Arul Joseph Gnanaprakasam
author_sort Ismat Beg
title Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications
title_short Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications
title_full Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications
title_fullStr Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications
title_full_unstemmed Fixed Point of Orthogonal F-Suzuki Contraction Mapping on O-Complete b-Metric Spaces with Applications
title_sort fixed point of orthogonal f-suzuki contraction mapping on o-complete b-metric spaces with applications
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In this paper, we introduce the concept of generalized orthogonal F-Suzuki contraction mapping and prove some fixed point theorems on orthogonal b-metric spaces. Our results generalize and extend some of the well-known results in the existing literature. As an application of our results, we show the existence of a unique solution of the first-order ordinary differential equation.
url http://dx.doi.org/10.1155/2021/6692112
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AT gunaseelanmani fixedpointoforthogonalfsuzukicontractionmappingonocompletebmetricspaceswithapplications
AT aruljosephgnanaprakasam fixedpointoforthogonalfsuzukicontractionmappingonocompletebmetricspaceswithapplications
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