Topological stability for fuzzy expansive maps

被引：2

作者：

Badilla, L. ^{[1
]}

Carrasco-Olivera, D. ^{[1
]}

Sirvent, V. F. ^{[2
]}

Villavicencio, H. ^{[3
]}

机构：

[1] Univ Bio Bio, Fac Ciencias, Dept Mat, Grp Invest Sistemas Dinam & Aplicac GISDA, Casilla 5-C, Concepcion, Viii Region, Chile

[2] Univ Catolica Norte, Dept Matemat, Antofagasta, Chile

[3] Univ Nacl Ingn, Inst Matemat & Ciencias Afines, Lima, Peru

来源：

FUZZY SETS AND SYSTEMS | 2021年 / 425卷

关键词：

Fuzzy sets; Expansiviness; Fuzzy metric spaces; HOMEOMORPHISMS;

D O I：

10.1016/j.fss.2020.11.013

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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. (c) 2020 Elsevier B.V. All rights reserved.

引用

页码：34 / 47

页数：14

共 40 条

[1]

Ahmadi Seyyed A., 2012, CANKAYA UNIV J SCI E, V9

[2]

Aphane ME, 2009, THESIS

[3]

Artigue A., 2017, ADV DYN SYST APPL, V12, P17

[4] Descriptive set theory for expansive systems [J].

Bautista, S. ;

Morales, C. A. ;

Villavicencio, H. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 461 (01) :916-928

[5] EXPANISVE SELF-HOMEOMORPHISMS OF A COMPACT METRIC SPACE [J].

BRYANT, BF .

AMERICAN MATHEMATICAL MONTHLY, 1962, 69 (05) :386-&

[6] Expansive measures for flows [J].

Carrasco-Olivera, D. ;

Morales, C. A. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (07) :2246-2260

[7]

Carrasco-Olivera D., 2015, INDIAN J MATH, V57, P377

[8] METRIC SPACES IN FUZZY SET-THEORY [J].

ERCEG, MA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 69 (01) :205-230

[9] ON SOME RESULTS IN FUZZY METRIC-SPACES [J].

GEORGE, A ;

VEERAMANI, P .

FUZZY SETS AND SYSTEMS, 1994, 64 (03) :395-399

[10] On some results of analysis for fuzzy metric spaces [J].

George, A ;

Veeramani, P .

FUZZY SETS AND SYSTEMS, 1997, 90 (03) :365-368

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