NOTES ON THE EVENTUAL SHADOWING PROPERTY OF A CONTINUOUS MAP

Abstract

Let (X; d) be a compact metric space with metric d and let f : X ! X be a continuous map. In this paper, we consider that for a subset *, a map f has the eventual shadowing property if and only if f has the eventual shadowing property on *. Moreover, a map f has the eventual shadowing property if and only if f has the eventual shadowing property in *.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.