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On a shadowing lemma in metric spaces. (English) Zbl 0808.54028
Summary: Conditions are studied, under which a pseudo-orbit of a continuous map \(f : M \to M\), where \(M\) is a metric space, is shadowed, in a more general sense, by an accurate orbit of the map \(f\).

MSC:
54H20 Topological dynamics (MSC2010)
37B99 Topological dynamics
37D99 Dynamical systems with hyperbolic behavior
54C30 Real-valued functions in general topology
54E35 Metric spaces, metrizability
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