4–6 Dec 2019
UBB, Concepcion
America/Santiago timezone

Topological stability for fuzzy expansive maps

5 Dec 2019, 15:20
30m
Auditorio Hermann Gamm (UBB, Concepcion)

Auditorio Hermann Gamm

UBB, Concepcion

Universidad del Bío-Bío, Avda. Collao 1202, Casilla 5-C, Concepción, Chile

Speaker

Leonel Badilla (UBB)

Description

Authors: L. BADILLA, D. CARRASCO-OLIVERA, V.F. SIRVENT AND H. VILLAVICENCIO

Abstract: We introduce the definitions of expansivity and topological stability for homeomorphism on fuzzy metric space. We show some basic properties of fuzzy expansive homeomorphisms. Moreover we prove Walters’ theorem in the context of fuzzy metric spaces, i.e., a fuzzy expansive system with the fuzzy shadowing property is fuzzy topologically stable.

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