Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric

Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric

In this paper, we prove fixed point theorems using orthogonal triangular α-admissibility on orthogonal complete metric spaces. Some of the well-known outcomes in the literature are generalized and expanded by the obtained results. An instance to help our outcome is being presented.

Bibliographic Details
Main Authors: Arul Joseph Gnanaprakasam, Gunaseelan Mani, Vahid Parvaneh, Hassen Aydi
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/1202527
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spelling doaj-ae2eae84889e4079ab1ca92c3734d39b2021-09-20T00:29:29ZengHindawi LimitedAdvances in Mathematical Physics1687-91392021-01-01202110.1155/2021/1202527Solving a Nonlinear Fredholm Integral Equation via an Orthogonal MetricArul Joseph Gnanaprakasam0Gunaseelan Mani1Vahid Parvaneh2Hassen Aydi3Department of MathematicsDepartment of MathematicsDepartment of MathematicsUniversité de SousseIn this paper, we prove fixed point theorems using orthogonal triangular α-admissibility on orthogonal complete metric spaces. Some of the well-known outcomes in the literature are generalized and expanded by the obtained results. An instance to help our outcome is being presented.http://dx.doi.org/10.1155/2021/1202527
collection DOAJ
language English
format Article
sources DOAJ
author Arul Joseph Gnanaprakasam
Gunaseelan Mani
Vahid Parvaneh
Hassen Aydi
spellingShingle Arul Joseph Gnanaprakasam
Gunaseelan Mani
Vahid Parvaneh
Hassen Aydi
Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric
Advances in Mathematical Physics
author_facet Arul Joseph Gnanaprakasam
Gunaseelan Mani
Vahid Parvaneh
Hassen Aydi
author_sort Arul Joseph Gnanaprakasam
title Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric
title_short Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric
title_full Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric
title_fullStr Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric
title_full_unstemmed Solving a Nonlinear Fredholm Integral Equation via an Orthogonal Metric
title_sort solving a nonlinear fredholm integral equation via an orthogonal metric
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9139
publishDate 2021-01-01
description In this paper, we prove fixed point theorems using orthogonal triangular α-admissibility on orthogonal complete metric spaces. Some of the well-known outcomes in the literature are generalized and expanded by the obtained results. An instance to help our outcome is being presented.
url http://dx.doi.org/10.1155/2021/1202527
work_keys_str_mv AT aruljosephgnanaprakasam solvinganonlinearfredholmintegralequationviaanorthogonalmetric
AT gunaseelanmani solvinganonlinearfredholmintegralequationviaanorthogonalmetric
AT vahidparvaneh solvinganonlinearfredholmintegralequationviaanorthogonalmetric
AT hassenaydi solvinganonlinearfredholmintegralequationviaanorthogonalmetric
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