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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