Topological stability for fuzzy expansive maps

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The authors would like to thank Carlos A. Morales, for useful talks on the subject of expansiveness and shadowing. Also, the authors would like to thank Professor H. Miranda and the anonymous reviewers for their valuable comments that helped to improve the final version of the article. The first aut...

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Detalles Bibliográficos
Autores: Badilla L., Carrasco-Olivera D., Sirvent V.F., Villavicencio H.
Formato: artículo
Fecha de Publicación:2021
Institución:Consejo Nacional de Ciencia Tecnología e Innovación
Repositorio:CONCYTEC-Institucional
Lenguaje:inglés
OAI Identifier:oai:repositorio.concytec.gob.pe:20.500.12390/3069
Enlace del recurso:https://hdl.handle.net/20.500.12390/3069
https://doi.org/10.1016/j.fss.2020.11.013
Nivel de acceso:acceso abierto
Materia:Fuzzy sets
Expansiviness
Fuzzy metric spaces
https://purl.org/pe-repo/ocde/ford#2.07.01
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spelling Publicationrp08854600rp05888600rp08855600rp05887600Badilla L.Carrasco-Olivera D.Sirvent V.F.Villavicencio H.2024-05-30T23:13:38Z2024-05-30T23:13:38Z2021https://hdl.handle.net/20.500.12390/3069https://doi.org/10.1016/j.fss.2020.11.0132-s2.0-85106796798The authors would like to thank Carlos A. Morales, for useful talks on the subject of expansiveness and shadowing. Also, the authors would like to thank Professor H. Miranda and the anonymous reviewers for their valuable comments that helped to improve the final version of the article. The first author was partially supported by CONICYT PFCHA/DOCTORADO NACIONAL/2017-21170110 and Agencia Nacional de Investigaci?n y Desarrollo-ANID, Chile, project FONDECYT 1181061. The second author was partially supported by Agencia Nacional de Investigaci?n y Desarrollo-ANID, Chile, project FONDECYT 1181061, by Universidad del B?o-B?o, Chile, project 196108 GI/C, and by Programa do Postdoutorado Ver?o 2017-2019, IMPA, Rio de Janeiro, Brasil. The last author was partially supported by FONDECYT (Per?) contract 100?2018.We introduce the definitions of expansivity and topological stability for homeomorphisms on fuzzy metric spaces. We show some basic properties of fuzzy expansive homeomorphisms. Moreover we prove Walters's theorem in the context of fuzzy metric spaces, i.e., a fuzzy expansive system with the fuzzy shadowing property is fuzzy topologically stable.Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - ConcytecengElsevier B.V.urn:issn:0165-0114info:eu-repo/semantics/openAccessFuzzy setsExpansiviness-1Fuzzy metric spaces-1https://purl.org/pe-repo/ocde/ford#2.07.01-1Topological stability for fuzzy expansive mapsinfo:eu-repo/semantics/articlereponame:CONCYTEC-Institucionalinstname:Consejo Nacional de Ciencia Tecnología e Innovacióninstacron:CONCYTEC20.500.12390/3069oai:repositorio.concytec.gob.pe:20.500.12390/30692024-05-30 16:13:42.889http://purl.org/coar/access_right/c_14cbinfo:eu-repo/semantics/closedAccessmetadata only accesshttps://repositorio.concytec.gob.peRepositorio Institucional CONCYTECrepositorio@concytec.gob.pe#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#<Publication xmlns="https://www.openaire.eu/cerif-profile/1.1/" id="ea7740ad-4893-484b-86ea-a7b071a30467"> <Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843</Type> <Language>eng</Language> <Title>Topological stability for fuzzy expansive maps</Title> <PublishedIn> <Publication> <Title>urn:issn:0165-0114</Title> </Publication> </PublishedIn> <PublicationDate>2021</PublicationDate> <DOI>https://doi.org/10.1016/j.fss.2020.11.013</DOI> <SCP-Number>2-s2.0-85106796798</SCP-Number> <Authors> <Author> <DisplayName>Badilla L.</DisplayName> <Person id="rp08854" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Carrasco-Olivera D.</DisplayName> <Person id="rp05888" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Sirvent V.F.</DisplayName> <Person id="rp08855" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> <Author> <DisplayName>Villavicencio H.</DisplayName> <Person id="rp05887" /> <Affiliation> <OrgUnit> </OrgUnit> </Affiliation> </Author> </Authors> <Editors> </Editors> <Publishers> <Publisher> <DisplayName>Elsevier B.V.</DisplayName> <OrgUnit /> </Publisher> </Publishers> <Keyword>Fuzzy sets</Keyword> <Keyword>Expansiviness</Keyword> <Keyword>Fuzzy metric spaces</Keyword> <Abstract>We introduce the definitions of expansivity and topological stability for homeomorphisms on fuzzy metric spaces. We show some basic properties of fuzzy expansive homeomorphisms. Moreover we prove Walters&apos;s theorem in the context of fuzzy metric spaces, i.e., a fuzzy expansive system with the fuzzy shadowing property is fuzzy topologically stable.</Abstract> <Access xmlns="http://purl.org/coar/access_right" > </Access> </Publication> -1
dc.title.none.fl_str_mv Topological stability for fuzzy expansive maps
title Topological stability for fuzzy expansive maps
spellingShingle Topological stability for fuzzy expansive maps
Badilla L.
Fuzzy sets
Expansiviness
Fuzzy metric spaces
https://purl.org/pe-repo/ocde/ford#2.07.01
title_short Topological stability for fuzzy expansive maps
title_full Topological stability for fuzzy expansive maps
title_fullStr Topological stability for fuzzy expansive maps
title_full_unstemmed Topological stability for fuzzy expansive maps
title_sort Topological stability for fuzzy expansive maps
author Badilla L.
author_facet Badilla L.
Carrasco-Olivera D.
Sirvent V.F.
Villavicencio H.
author_role author
author2 Carrasco-Olivera D.
Sirvent V.F.
Villavicencio H.
author2_role author
author
author
dc.contributor.author.fl_str_mv Badilla L.
Carrasco-Olivera D.
Sirvent V.F.
Villavicencio H.
dc.subject.none.fl_str_mv Fuzzy sets
topic Fuzzy sets
Expansiviness
Fuzzy metric spaces
https://purl.org/pe-repo/ocde/ford#2.07.01
dc.subject.es_PE.fl_str_mv Expansiviness
Fuzzy metric spaces
dc.subject.ocde.none.fl_str_mv https://purl.org/pe-repo/ocde/ford#2.07.01
description The authors would like to thank Carlos A. Morales, for useful talks on the subject of expansiveness and shadowing. Also, the authors would like to thank Professor H. Miranda and the anonymous reviewers for their valuable comments that helped to improve the final version of the article. The first author was partially supported by CONICYT PFCHA/DOCTORADO NACIONAL/2017-21170110 and Agencia Nacional de Investigaci?n y Desarrollo-ANID, Chile, project FONDECYT 1181061. The second author was partially supported by Agencia Nacional de Investigaci?n y Desarrollo-ANID, Chile, project FONDECYT 1181061, by Universidad del B?o-B?o, Chile, project 196108 GI/C, and by Programa do Postdoutorado Ver?o 2017-2019, IMPA, Rio de Janeiro, Brasil. The last author was partially supported by FONDECYT (Per?) contract 100?2018.
publishDate 2021
dc.date.accessioned.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.available.none.fl_str_mv 2024-05-30T23:13:38Z
dc.date.issued.fl_str_mv 2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.uri.none.fl_str_mv https://hdl.handle.net/20.500.12390/3069
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1016/j.fss.2020.11.013
dc.identifier.scopus.none.fl_str_mv 2-s2.0-85106796798
url https://hdl.handle.net/20.500.12390/3069
https://doi.org/10.1016/j.fss.2020.11.013
identifier_str_mv 2-s2.0-85106796798
dc.language.iso.none.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv urn:issn:0165-0114
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
dc.source.none.fl_str_mv reponame:CONCYTEC-Institucional
instname:Consejo Nacional de Ciencia Tecnología e Innovación
instacron:CONCYTEC
instname_str Consejo Nacional de Ciencia Tecnología e Innovación
instacron_str CONCYTEC
institution CONCYTEC
reponame_str CONCYTEC-Institucional
collection CONCYTEC-Institucional
repository.name.fl_str_mv Repositorio Institucional CONCYTEC
repository.mail.fl_str_mv repositorio@concytec.gob.pe
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Topological stability for fuzzy expansive maps
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