Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces

Using the concept of the CATp(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A., Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No. 3, 417–426], we establish ∆-convergence and strong convergence of a perturbed variant of Agarwal et al. S-iteration proce...

Full description

Autores:
Calderón Sanchez, Kenyi
Khamsi, Mohamed Amine
Martínez Moreno, Juan Martínez
Tipo de recurso:
Article of investigation
Fecha de publicación:
2021
Institución:
Universidad de Ciencias Aplicadas y Ambientales U.D.C.A
Repositorio:
Repositorio Institucional UDCA
Idioma:
eng
OAI Identifier:
oai:repository.udca.edu.co:11158/3966
Acceso en línea:
https://repository.udca.edu.co/handle/11158/3966
https://doi.org/10.37193/CJM.2021.01.07
https://repository.udca.edu.co
Palabra clave:
Punto fijo, Teoría del
Conjuntos, Teoría de
Métodos iterativos (Matemáticas)
Espacios métricos
Rights
openAccess
License
http
id RepoUDCA2_888acb937dd02a8e37a0c3f0eb3b8905
oai_identifier_str oai:repository.udca.edu.co:11158/3966
network_acronym_str RepoUDCA2
network_name_str Repositorio Institucional UDCA
repository_id_str
dc.title.eng.fl_str_mv Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces
title Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces
spellingShingle Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces
Punto fijo, Teoría del
Conjuntos, Teoría de
Métodos iterativos (Matemáticas)
Espacios métricos
title_short Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces
title_full Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces
title_fullStr Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces
title_full_unstemmed Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces
title_sort Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces
dc.creator.fl_str_mv Calderón Sanchez, Kenyi
Khamsi, Mohamed Amine
Martínez Moreno, Juan Martínez
dc.contributor.author.none.fl_str_mv Calderón Sanchez, Kenyi
Khamsi, Mohamed Amine
Martínez Moreno, Juan Martínez
dc.subject.other.none.fl_str_mv Punto fijo, Teoría del
Conjuntos, Teoría de
Métodos iterativos (Matemáticas)
topic Punto fijo, Teoría del
Conjuntos, Teoría de
Métodos iterativos (Matemáticas)
Espacios métricos
dc.subject.lemb.none.fl_str_mv Espacios métricos
description Using the concept of the CATp(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A., Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No. 3, 417–426], we establish ∆-convergence and strong convergence of a perturbed variant of Agarwal et al. S-iteration process for nonexpansive mapping. Finally, from them we deduce results valid for α-nonexpansive mappings.
publishDate 2021
dc.date.accessioned.none.fl_str_mv 2021-05-28T16:40:02Z
dc.date.available.none.fl_str_mv 2021-05-28T16:40:02Z
dc.date.issued.none.fl_str_mv 2021
dc.type.spa.fl_str_mv Artículo de revista
dc.type.coar.spa.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.type.driver.spa.fl_str_mv info:eu-repo/semantics/article
dc.type.version.spa.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.content.spa.fl_str_mv Text
dc.type.redcol.spa.fl_str_mv http://purl.org/redcol/resource_type/ART
dc.type.coarversion.spa.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
format http://purl.org/coar/resource_type/c_2df8fbb1
status_str publishedVersion
dc.identifier.citation.spa.fl_str_mv Calderón, K., Khamsi, M.A., Martínez-Moreno, J.Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces (2021) Carpathian Journal of Mathematics, 37 (1), pp. 65-79.
dc.identifier.uri.none.fl_str_mv https://repository.udca.edu.co/handle/11158/3966
dc.identifier.doi.none.fl_str_mv https://doi.org/10.37193/CJM.2021.01.07
dc.identifier.instname.spa.fl_str_mv Universidad de Ciencias Aplicadas y Ambientales
dc.identifier.reponame.spa.fl_str_mv UDCA
dc.identifier.repourl.spa.fl_str_mv https://repository.udca.edu.co
identifier_str_mv Calderón, K., Khamsi, M.A., Martínez-Moreno, J.Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces (2021) Carpathian Journal of Mathematics, 37 (1), pp. 65-79.
Universidad de Ciencias Aplicadas y Ambientales
UDCA
url https://repository.udca.edu.co/handle/11158/3966
https://doi.org/10.37193/CJM.2021.01.07
https://repository.udca.edu.co
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationedition.spa.fl_str_mv 2021
dc.relation.citationendpage.spa.fl_str_mv 79
dc.relation.citationissue.spa.fl_str_mv 1
dc.relation.citationstartpage.spa.fl_str_mv 65
dc.relation.citationvolume.spa.fl_str_mv 37
dc.relation.ispartofjournal.spa.fl_str_mv Carpathian J. Math.
dc.rights.spa.fl_str_mv http
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.uri.spa.fl_str_mv https://creativecommons.org/licenses/by-nc-sa/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
dc.rights.license.spa.fl_str_mv Atribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)
rights_invalid_str_mv http
https://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.source.spa.fl_str_mv https://www.carpathian.cunbm.utcluj.ro/wp-content/uploads/2021_vol_37_1/carpathian_2021_37_1_65_79.pdf
institution Universidad de Ciencias Aplicadas y Ambientales U.D.C.A
bitstream.url.fl_str_mv https://repository.udca.edu.co/bitstreams/80097798-0f57-4948-950a-534ab4d0b2d5/download
https://repository.udca.edu.co/bitstreams/1e2beed8-5d9d-4446-91b2-923ea381d9ac/download
https://repository.udca.edu.co/bitstreams/12a7a5dd-1aa1-402b-9dd2-881208d4911e/download
https://repository.udca.edu.co/bitstreams/521fcbd5-4a46-4eca-a102-949b4a9feab1/download
bitstream.checksum.fl_str_mv abedff3652a9a14d978d4bad7d882de7
f661acf14bedbf9f5d13897a0387e751
b3c4da0153251b95d053c7c746786b2f
0b02c64ef5569c8e530e11c0603867ff
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositorio - Universidad de Ciencias Aplicadas y Ambientales UDCA.
repository.mail.fl_str_mv bdigital@metabiblioteca.com
_version_ 1814213286309134336
spelling Calderón Sanchez, KenyiKhamsi, Mohamed AmineMartínez Moreno, Juan Martínez2021-05-28T16:40:02Z2021-05-28T16:40:02Z2021Calderón, K., Khamsi, M.A., Martínez-Moreno, J.Perturbed approximations of fixed points of nonexpansive mappings in CATp(0) spaces (2021) Carpathian Journal of Mathematics, 37 (1), pp. 65-79.https://repository.udca.edu.co/handle/11158/3966https://doi.org/10.37193/CJM.2021.01.07Universidad de Ciencias Aplicadas y AmbientalesUDCAhttps://repository.udca.edu.coUsing the concept of the CATp(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A., Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No. 3, 417–426], we establish ∆-convergence and strong convergence of a perturbed variant of Agarwal et al. S-iteration process for nonexpansive mapping. Finally, from them we deduce results valid for α-nonexpansive mappings.application/pdfenghttphttps://creativecommons.org/licenses/by-nc-sa/4.0/info:eu-repo/semantics/openAccessAtribución-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)http://purl.org/coar/access_right/c_abf2https://www.carpathian.cunbm.utcluj.ro/wp-content/uploads/2021_vol_37_1/carpathian_2021_37_1_65_79.pdfPunto fijo, Teoría delConjuntos, Teoría deMétodos iterativos (Matemáticas)Espacios métricosPerturbed approximations of fixed points of nonexpansive mappings in CATp(0) spacesArtículo de revistahttp://purl.org/coar/resource_type/c_2df8fbb1info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionTexthttp://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a8520217916537Carpathian J. Math.PublicationORIGINALPerturberd.pdfPerturberd.pdfapplication/pdf366702https://repository.udca.edu.co/bitstreams/80097798-0f57-4948-950a-534ab4d0b2d5/downloadabedff3652a9a14d978d4bad7d882de7MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-814775https://repository.udca.edu.co/bitstreams/1e2beed8-5d9d-4446-91b2-923ea381d9ac/downloadf661acf14bedbf9f5d13897a0387e751MD52TEXTPerturberd.pdf.txtPerturberd.pdf.txtExtracted texttext/plain37850https://repository.udca.edu.co/bitstreams/12a7a5dd-1aa1-402b-9dd2-881208d4911e/downloadb3c4da0153251b95d053c7c746786b2fMD53THUMBNAILPerturberd.pdf.jpgPerturberd.pdf.jpgGenerated Thumbnailimage/jpeg13467https://repository.udca.edu.co/bitstreams/521fcbd5-4a46-4eca-a102-949b4a9feab1/download0b02c64ef5569c8e530e11c0603867ffMD5411158/3966oai:repository.udca.edu.co:11158/39662024-05-09 14:29:43.71https://creativecommons.org/licenses/by-nc-sa/4.0/httpopen.accesshttps://repository.udca.edu.coRepositorio - Universidad de Ciencias Aplicadas y Ambientales UDCA.bdigital@metabiblioteca.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