Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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NOTES ON THE EVENTUAL SHADOWING PROPERTY OF A CONTINUOUS MAP

  • Lee, Manseob (Department of Mathematics Mokwon University)
  • Received : 2017.05.08
  • Accepted : 2017.08.15
  • Published : 2017.11.15
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Abstract

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

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References

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