Approximation of common fixed points in 2-Banach spaces with applications

[EN] The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and P...

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Detalles Bibliográficos
Autores: Kumar, D. Ramesh, Pitchaimani, M.
Tipo de recurso: artículo
Fecha de publicación:2019
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:10251/118957
Acceso en línea:https://riunet.upv.es/handle/10251/118957
Access Level:acceso abierto
Palabra clave:Common fixed point
Mann iteration
Picard iteration
Well-posedness
2-Banach space
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spelling Approximation of common fixed points in 2-Banach spaces with applicationsKumar, D. RameshPitchaimani, M.Common fixed pointMann iterationPicard iterationWell-posedness2-Banach space[EN] The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and Picard type iteration schemes. Further, an application to well-posedness of the common fixed point problem is given. The presented results generalize many known results on 2-Banach spaces.The authors thank the reviewers for valuable comments. The first author D. Ramesh Kumar would like to thank the University Grants Commission, New Delhi, India for providing the financial support in preparation of this manuscript.Universitat Politècnica de ValènciaUniversity Grants Commission, IndiaRepositorio Institucional de la Universitat Politècnica de València Riunet20192019-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/118957reponame: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:10251/1189572026-06-13T07:49:27Z
dc.title.none.fl_str_mv Approximation of common fixed points in 2-Banach spaces with applications
title Approximation of common fixed points in 2-Banach spaces with applications
spellingShingle Approximation of common fixed points in 2-Banach spaces with applications
Kumar, D. Ramesh
Common fixed point
Mann iteration
Picard iteration
Well-posedness
2-Banach space
title_short Approximation of common fixed points in 2-Banach spaces with applications
title_full Approximation of common fixed points in 2-Banach spaces with applications
title_fullStr Approximation of common fixed points in 2-Banach spaces with applications
title_full_unstemmed Approximation of common fixed points in 2-Banach spaces with applications
title_sort Approximation of common fixed points in 2-Banach spaces with applications
dc.creator.none.fl_str_mv Kumar, D. Ramesh
Pitchaimani, M.
author Kumar, D. Ramesh
author_facet Kumar, D. Ramesh
Pitchaimani, M.
author_role author
author2 Pitchaimani, M.
author2_role author
dc.contributor.none.fl_str_mv University Grants Commission, India
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Common fixed point
Mann iteration
Picard iteration
Well-posedness
2-Banach space
topic Common fixed point
Mann iteration
Picard iteration
Well-posedness
2-Banach space
description [EN] The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and Picard type iteration schemes. Further, an application to well-posedness of the common fixed point problem is given. The presented results generalize many known results on 2-Banach spaces.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019-04-01
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/10251/118957
url https://riunet.upv.es/handle/10251/118957
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 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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