Expansivity and shadowing in fuzzy metric space

We define expansive and topological stability to homeomorphisms on F M- spaces. We define expansive and topological stability to homeomorph sms n We offer some basic features of F - expansive homeomorphism. Further, we prove Walter's- spaces. We offer some basic features of- Aexpansive homeomorphism. Further we prove Walter's theorem in the context from a- space i e theorem in the context from a F M- space, i.e., F- expansive with the F- shadowing feature is F- topologically stable. exp nsive with the