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.