Article Contents
Article Contents

# Various shadowing properties and their equivalence

• In this paper, various shadowing properties are considered for expansive homeomorphisms. More precisely, we show that the continuous shadowing property, the Lipschitz shadowing property, the limit shadowing property and the strong shadowing property are all equivalent to the (usual) shadowing property for expansive homeomorphisms on compact metric spaces.
Mathematics Subject Classification: Primary: 37B99, 37C15, 37C50, 37D20; Secondary: 54H20.

 Citation: