[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14317/jami.2020.249

LOCAL EXPANSIVITY AND THE LIMIT SHADOWING PROPERTY

KOO, KI-SHIK (Department of Computer and Information Security, Daejeon University)

Publication Information

Journal of applied mathematics & informatics / v.38, no.3_4, 2020 , pp. 249-254 More about this Journal

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.

Keywords

Local expansion; locally nonexpansive; shadowing property; limit shadowing property; chain recurrent set;

Citations & Related Records

Reference

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