Abstract: Consider the continuous map and the continuous map of into itself induced by f,
where X is a metric space and is the space that consists of all
nonempty compact subsets of X and that
is endowed with the Hausdorff metric induced by the metric d
of X. In this paper we investigate the
relation between f and in some dynamical properties, such
as weak-mixing, mixing and chaos.
Keywords and phrases: set-valued map, weak-mixing, mixing, chaos.
