Solving an Integral Equation via Orthogonal Branciari Metric Spaces

In this article, we present an orthogonal L-contraction mapping concepts and prove a fixed point theorem on orthogonal complete Branciari metric spaces. As an application, we apply our major results to solving integral equations.

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Bibliographic Details
Main Authors: Aiman Mukheimer, Arul Joseph Gnanaprakasam, Absar Ul Haq, Senthil Kumar Prakasam, Gunaseelan Mani, Imran Abbas Baloch
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2022/7251823
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author Aiman Mukheimer
Arul Joseph Gnanaprakasam
Absar Ul Haq
Senthil Kumar Prakasam
Gunaseelan Mani
Imran Abbas Baloch
author_facet Aiman Mukheimer
Arul Joseph Gnanaprakasam
Absar Ul Haq
Senthil Kumar Prakasam
Gunaseelan Mani
Imran Abbas Baloch
author_sort Aiman Mukheimer
collection DOAJ
description In this article, we present an orthogonal L-contraction mapping concepts and prove a fixed point theorem on orthogonal complete Branciari metric spaces. As an application, we apply our major results to solving integral equations.
format Article
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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-46db33b573424aabb64139a483751c3f2025-02-03T07:24:18ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7251823Solving an Integral Equation via Orthogonal Branciari Metric SpacesAiman Mukheimer0Arul Joseph Gnanaprakasam1Absar Ul Haq2Senthil Kumar Prakasam3Gunaseelan Mani4Imran Abbas Baloch5Department of Mathematics and SciencesDepartment of MathematicsDepartment of Natural Sciences and HumanitiesDepartment of MathematicsDepartment of MathematicsAbdus Salam School of Mathematical SciencesIn this article, we present an orthogonal L-contraction mapping concepts and prove a fixed point theorem on orthogonal complete Branciari metric spaces. As an application, we apply our major results to solving integral equations.http://dx.doi.org/10.1155/2022/7251823
spellingShingle Aiman Mukheimer
Arul Joseph Gnanaprakasam
Absar Ul Haq
Senthil Kumar Prakasam
Gunaseelan Mani
Imran Abbas Baloch
Solving an Integral Equation via Orthogonal Branciari Metric Spaces
Journal of Function Spaces
title Solving an Integral Equation via Orthogonal Branciari Metric Spaces
title_full Solving an Integral Equation via Orthogonal Branciari Metric Spaces
title_fullStr Solving an Integral Equation via Orthogonal Branciari Metric Spaces
title_full_unstemmed Solving an Integral Equation via Orthogonal Branciari Metric Spaces
title_short Solving an Integral Equation via Orthogonal Branciari Metric Spaces
title_sort solving an integral equation via orthogonal branciari metric spaces
url http://dx.doi.org/10.1155/2022/7251823
work_keys_str_mv AT aimanmukheimer solvinganintegralequationviaorthogonalbranciarimetricspaces
AT aruljosephgnanaprakasam solvinganintegralequationviaorthogonalbranciarimetricspaces
AT absarulhaq solvinganintegralequationviaorthogonalbranciarimetricspaces
AT senthilkumarprakasam solvinganintegralequationviaorthogonalbranciarimetricspaces
AT gunaseelanmani solvinganintegralequationviaorthogonalbranciarimetricspaces
AT imranabbasbaloch solvinganintegralequationviaorthogonalbranciarimetricspaces