Title
Topological stability for fuzzy expansive maps
Date Issued
30 November 2021
Access level
metadata only access
Resource Type
journal article
Author(s)
Publisher(s)
Elsevier B.V.
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.
Start page
34
End page
47
Volume
425
Language
English
OCDE Knowledge area
Matemáticas aplicadas
Subjects
Scopus EID
2-s2.0-85106796798
Source
Fuzzy Sets and Systems
ISSN of the container
01650114
Sponsor(s)
The second author was partially supported by Agencia Nacional de Investigación y Desarrollo-ANID, Chile , project FONDECYT 1181061 , by Universidad del Bío-Bío, Chile , project 196108 GI/C , and by Programa do Postdoutorado Verão 2017-2019, IMPA , Rio de Janeiro, Brasil. The last author was partially supported by FONDECYT (Perú) contract 100–2018 .
The first author was partially supported by CONICYT PFCHA/DOCTORADO NACIONAL/2017-21170110 and Agencia Nacional de Investigación y Desarrollo-ANID, Chile , project FONDECYT 1181061 .
Sources of information:
Directorio de Producción Científica
Scopus