A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations

[EN] In this paper, we present a new fixed-point result to draw conclusions about the existence and uniqueness of the solution for a nonlinear Fredholm integral equation of the second kind with non -differentiable Nemytskii operator. To do this, we will transform the problem of locating a fixed poin...

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Autores: Hernández-Verón, Miguel A., Singh, Sukhjit, Yadav, Nisha, Martínez Molada, Eulalia|||0000-0003-2869-4334
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/205460
Acceso en línea:https://riunet.upv.es/handle/10251/205460
Access Level:acceso abierto
Palabra clave:Fixed point theorem
Global convergence
Fredholm integral equations
Derivative-free iterative processes
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spelling A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral EquationsHernández-Verón, Miguel A.Singh, SukhjitYadav, NishaMartínez Molada, Eulalia|||0000-0003-2869-4334Fixed point theoremGlobal convergenceFredholm integral equationsDerivative-free iterative processes[EN] In this paper, we present a new fixed-point result to draw conclusions about the existence and uniqueness of the solution for a nonlinear Fredholm integral equation of the second kind with non -differentiable Nemytskii operator. To do this, we will transform the problem of locating a fixed point for an integral operator into the problem of locating a solution of an integral equation. Thus, assuming conditions on the Nemytskii operator, we will obtain a global convergence domain for the solution of the considered integral equation, taking for this a uniparametric family of derivativefree iterative processes with quadratic convergence. This result provides us a new fixed-point result for the integral operator considered.This research was partially supported by Ministerio de Economia y Competitividad under grant PGC2018-095896-B-C21-C22 and by the project EEQ/2018/000720 under Science and Engineering Research Board.Vilnius Gediminas Technical UniversityEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaInstituto Universitario de Matemática MultidisciplinarAgencia Estatal de InvestigaciónScience and Engineering Research Board, IndiaRepositorio Institucional de la Universitat Politècnica de València Riunet20242024-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/205460reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-095896-B-C21 DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIALSERB SERB EEQ%2F2018%2F000720open accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento (by)http://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2054602026-06-13T07:49:27Z
dc.title.none.fl_str_mv A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations
title A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations
spellingShingle A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations
Hernández-Verón, Miguel A.
Fixed point theorem
Global convergence
Fredholm integral equations
Derivative-free iterative processes
title_short A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations
title_full A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations
title_fullStr A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations
title_full_unstemmed A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations
title_sort A Fixed-Point Type Result for Some Non-Differentiable Fredholm Integral Equations
dc.creator.none.fl_str_mv Hernández-Verón, Miguel A.
Singh, Sukhjit
Yadav, Nisha
Martínez Molada, Eulalia|||0000-0003-2869-4334
author Hernández-Verón, Miguel A.
author_facet Hernández-Verón, Miguel A.
Singh, Sukhjit
Yadav, Nisha
Martínez Molada, Eulalia|||0000-0003-2869-4334
author_role author
author2 Singh, Sukhjit
Yadav, Nisha
Martínez Molada, Eulalia|||0000-0003-2869-4334
author2_role author
author
author
dc.contributor.none.fl_str_mv Escuela Técnica Superior de Ingeniería de Telecomunicación
Departamento de Matemática Aplicada
Instituto Universitario de Matemática Multidisciplinar
Agencia Estatal de Investigación
Science and Engineering Research Board, India
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Fixed point theorem
Global convergence
Fredholm integral equations
Derivative-free iterative processes
topic Fixed point theorem
Global convergence
Fredholm integral equations
Derivative-free iterative processes
description [EN] In this paper, we present a new fixed-point result to draw conclusions about the existence and uniqueness of the solution for a nonlinear Fredholm integral equation of the second kind with non -differentiable Nemytskii operator. To do this, we will transform the problem of locating a fixed point for an integral operator into the problem of locating a solution of an integral equation. Thus, assuming conditions on the Nemytskii operator, we will obtain a global convergence domain for the solution of the considered integral equation, taking for this a uniparametric family of derivativefree iterative processes with quadratic convergence. This result provides us a new fixed-point result for the integral operator considered.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/205460
url https://riunet.upv.es/handle/10251/205460
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PGC2018-095896-B-C21 DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL
SERB SERB EEQ%2F2018%2F000720
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento (by)
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Vilnius Gediminas Technical University
publisher.none.fl_str_mv Vilnius Gediminas Technical University
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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