Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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LOCAL EXPANSIVITY AND THE LIMIT SHADOWING PROPERTY

  • KOO, KI-SHIK (Department of Computer and Information Security, Daejeon University)
  • Received : 2020.03.10
  • Accepted : 2020.04.16
  • Published : 2020.05.30
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Abstract

Here, assume that X is a compact space. we show that if f is a locally nonexpansive map then f : X → X has the limit shadowing property if and only if f : CR(f) → CR(f) has the limit shadowing property. Also we prove that if f is a local expansion then f has the limit shadowing property.

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References

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