Derivative free processes of high order for nondifferentiable equations in Banach spaces

[EN] In this article, we consider two parametric classes of derivative free iterative methods of high order of convergence in Banach spaces. We study local and semilocal convergence results in Banach spaces for both families of iterative processes. We carry out a numerical application to solve a non...

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Authors: Villalba, Eva G., Argyros, Ioannis K., Hernández-Verón, M. A., Martínez Molada, Eulalia|||0000-0003-2869-4334
Format: article
Publication Date:2024
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/220051
Online Access:https://riunet.upv.es/handle/10251/220051
Access Level:Open access
Keyword:Banach spaces
Local convergence
Nonlinear systems
Semilocal convergence
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spelling Derivative free processes of high order for nondifferentiable equations in Banach spacesVillalba, Eva G.Argyros, Ioannis K.Hernández-Verón, M. A.Martínez Molada, Eulalia|||0000-0003-2869-4334Banach spacesLocal convergenceNonlinear systemsSemilocal convergence[EN] In this article, we consider two parametric classes of derivative free iterative methods of high order of convergence in Banach spaces. We study local and semilocal convergence results in Banach spaces for both families of iterative processes. We carry out a numerical application to solve a nonlinear and nondifferentiable Fredholm integral equation in the Banach space of continuous functions with the maximum norm.This research was partially supported by the Ministerio de Economía y Competitividad.John Wiley & SonsDepartamento de Matemática AplicadaEscuela Técnica Superior de Ingeniería de TelecomunicaciónInstituto Universitario de Matemática MultidisciplinarUniversitat Politècnica de ValènciaMinisterio de Economía y CompetitividadRepositorio Institucional de la Universitat Politècnica de València Riunet20242024-12-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/220051reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2200512026-06-13T07:49:27Z
dc.title.none.fl_str_mv Derivative free processes of high order for nondifferentiable equations in Banach spaces
title Derivative free processes of high order for nondifferentiable equations in Banach spaces
spellingShingle Derivative free processes of high order for nondifferentiable equations in Banach spaces
Villalba, Eva G.
Banach spaces
Local convergence
Nonlinear systems
Semilocal convergence
title_short Derivative free processes of high order for nondifferentiable equations in Banach spaces
title_full Derivative free processes of high order for nondifferentiable equations in Banach spaces
title_fullStr Derivative free processes of high order for nondifferentiable equations in Banach spaces
title_full_unstemmed Derivative free processes of high order for nondifferentiable equations in Banach spaces
title_sort Derivative free processes of high order for nondifferentiable equations in Banach spaces
dc.creator.none.fl_str_mv Villalba, Eva G.
Argyros, Ioannis K.
Hernández-Verón, M. A.
Martínez Molada, Eulalia|||0000-0003-2869-4334
author Villalba, Eva G.
author_facet Villalba, Eva G.
Argyros, Ioannis K.
Hernández-Verón, M. A.
Martínez Molada, Eulalia|||0000-0003-2869-4334
author_role author
author2 Argyros, Ioannis K.
Hernández-Verón, M. A.
Martínez Molada, Eulalia|||0000-0003-2869-4334
author2_role author
author
author
dc.contributor.none.fl_str_mv Departamento de Matemática Aplicada
Escuela Técnica Superior de Ingeniería de Telecomunicación
Instituto Universitario de Matemática Multidisciplinar
Universitat Politècnica de València
Ministerio de Economía y Competitividad
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Banach spaces
Local convergence
Nonlinear systems
Semilocal convergence
topic Banach spaces
Local convergence
Nonlinear systems
Semilocal convergence
description [EN] In this article, we consider two parametric classes of derivative free iterative methods of high order of convergence in Banach spaces. We study local and semilocal convergence results in Banach spaces for both families of iterative processes. We carry out a numerical application to solve a nonlinear and nondifferentiable Fredholm integral equation in the Banach space of continuous functions with the maximum norm.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-12-01
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/10251/220051
url https://riunet.upv.es/handle/10251/220051
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/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 - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv John Wiley & Sons
publisher.none.fl_str_mv John Wiley & Sons
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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