A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces

[EN] LetEbe a uniformly convex Banach space andCa nonempty closed boundedconvex subset ofE. LetΓ :C−→CandG:C−→Cbe enriched strictly pseu-docontractive mapping andΦΓ-enriched Lipschitzian mapping respectively. Weintroduce the above two mappings in uniformly convex Banach space and there-after prove t...

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Detalles Bibliográficos
Autores: Agwu, Imo Kalu, Saleem, Naeem, Isthiaq, Umar
Tipo de recurso: artículo
Fecha de publicación:2025
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:10251/221840
Acceso en línea:https://riunet.upv.es/handle/10251/221840
Access Level:acceso abierto
Palabra clave:Enriched strictly pseudocontractive mapping
Phi-enriched Lipschitz self-mapping
Modified Ishikawa iteration
Common Fixed Point
Uniformly Convex Banach Space
Strong Convergence
Mixed-type iteration schemes
Fixed point iterative methods
Nonlinear iteration schemes
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spelling A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spacesAgwu, Imo KaluSaleem, NaeemIsthiaq, UmarEnriched strictly pseudocontractive mappingPhi-enriched Lipschitz self-mappingModified Ishikawa iterationCommon Fixed PointUniformly Convex Banach SpaceStrong ConvergenceMixed-type iteration schemesFixed point iterative methodsNonlinear iteration schemes[EN] LetEbe a uniformly convex Banach space andCa nonempty closed boundedconvex subset ofE. LetΓ :C−→CandG:C−→Cbe enriched strictly pseu-docontractive mapping andΦΓ-enriched Lipschitzian mapping respectively. Weintroduce the above two mappings in uniformly convex Banach space and there-after prove that a new modified mixed-type lshikawa iteration scheme convergesstrongly to the common fixed points ofΓandG. In addition, we incorporateerror terms to enhance the convergence of the method and also to improve thestability and robustness of the method. Our results extend and generalize theresults obtained in[5]and so many other recent results currently existing inliterature.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20252025-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/221840reponame: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 - Compartir igual (by-nc-sa) http://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2218402026-06-13T07:49:27Z
dc.title.none.fl_str_mv A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
title A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
spellingShingle A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
Agwu, Imo Kalu
Enriched strictly pseudocontractive mapping
Phi-enriched Lipschitz self-mapping
Modified Ishikawa iteration
Common Fixed Point
Uniformly Convex Banach Space
Strong Convergence
Mixed-type iteration schemes
Fixed point iterative methods
Nonlinear iteration schemes
title_short A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
title_full A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
title_fullStr A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
title_full_unstemmed A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
title_sort A new modified mixed-type Ishikawa iteration scheme with error for common fixed points of enriched strictly pseudocontractive self mappings and ΦΓ-enriched Lipschitzian self mappings in uniformly convex Banach spaces
dc.creator.none.fl_str_mv Agwu, Imo Kalu
Saleem, Naeem
Isthiaq, Umar
author Agwu, Imo Kalu
author_facet Agwu, Imo Kalu
Saleem, Naeem
Isthiaq, Umar
author_role author
author2 Saleem, Naeem
Isthiaq, Umar
author2_role author
author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Enriched strictly pseudocontractive mapping
Phi-enriched Lipschitz self-mapping
Modified Ishikawa iteration
Common Fixed Point
Uniformly Convex Banach Space
Strong Convergence
Mixed-type iteration schemes
Fixed point iterative methods
Nonlinear iteration schemes
topic Enriched strictly pseudocontractive mapping
Phi-enriched Lipschitz self-mapping
Modified Ishikawa iteration
Common Fixed Point
Uniformly Convex Banach Space
Strong Convergence
Mixed-type iteration schemes
Fixed point iterative methods
Nonlinear iteration schemes
description [EN] LetEbe a uniformly convex Banach space andCa nonempty closed boundedconvex subset ofE. LetΓ :C−→CandG:C−→Cbe enriched strictly pseu-docontractive mapping andΦΓ-enriched Lipschitzian mapping respectively. Weintroduce the above two mappings in uniformly convex Banach space and there-after prove that a new modified mixed-type lshikawa iteration scheme convergesstrongly to the common fixed points ofΓandG. In addition, we incorporateerror terms to enhance the convergence of the method and also to improve thestability and robustness of the method. Our results extend and generalize theresults obtained in[5]and so many other recent results currently existing inliterature.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-04-01
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/10251/221840
url https://riunet.upv.es/handle/10251/221840
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 - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/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 - Compartir igual (by-nc-sa)
http://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
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 15,811543

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