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Topological stability for fuzzy expansive maps

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dc.contributor.author Badilla L. es_PE
dc.contributor.author Carrasco-Olivera D. es_PE
dc.contributor.author Sirvent V.F. es_PE
dc.contributor.author Villavicencio H. es_PE
dc.date.accessioned 2024-05-30T23:13:38Z
dc.date.available 2024-05-30T23:13:38Z
dc.date.issued 2021
dc.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.
dc.description.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's theorem in the context of fuzzy metric spaces, i.e., a fuzzy expansive system with the fuzzy shadowing property is fuzzy topologically stable.
dc.description.sponsorship Consejo Nacional de Ciencia, Tecnología e Innovación Tecnológica - Concytec
dc.identifier.doi https://doi.org/10.1016/j.fss.2020.11.013
dc.identifier.scopus 2-s2.0-85106796798
dc.identifier.uri https://hdl.handle.net/20.500.12390/3069
dc.language.iso eng
dc.publisher Elsevier B.V.
dc.relation.ispartof urn:issn:0165-0114
dc.rights info:eu-repo/semantics/openAccess
dc.subject Fuzzy sets
dc.subject Expansiviness es_PE
dc.subject Fuzzy metric spaces es_PE
dc.subject.ocde https://purl.org/pe-repo/ocde/ford#2.07.01
dc.title Topological stability for fuzzy expansive maps
dc.type info:eu-repo/semantics/article
dspace.entity.type Publication
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