Block-Coppels chaos in set-valued discrete systems
نویسندگان
1 Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
2 Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran.
doi
10.22067/ijnao.v3i1.18812چکیده
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.
