block-coppels chaos in set-valued discrete systems

نویسندگان

mojtaba jazaeri

bahman honary

چکیده

let (x, d) be a compact metric space and f : x → x be a continuous map. consider the metric space (k(x),h) of all non empty compact subsets of x endowed with the hausdorff metric induced by d. let ¯ f : k(x) → k(x) be defined by ¯ f(a) = {f(a) : a ∈ a} . we show that block-coppels chaos in f implies block-coppels chaos in ¯ f if f is a bijection.

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عنوان ژورنال:
iranian journal of numerical analysis and optimization

جلد ۳، شماره ۱، صفحات ۰-۰

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