摘要：We prove that if a continuous, Lyapunov stable map 𝑓 from a compact metric space 𝑋 into itself is topologically transitive and has the asymptotic average
shadowing property, then 𝑋 is consisting of one point. As an application, we prove that the identity map 𝑖𝑋∶𝑋→𝑋
does not have the asymptotic average shadowing property, where 𝑋 is a compact metric space with at least two points.
