Properties of Weakly Uniformly Recurrence on Hyperspaces

Abstract

Let  be an infinite compact metric space without isolated points and  continuous on  . Consider the space the set of all compact subsets of  with Hausdorff metric  and the induced map : defined by . In this paper we establish some properties of weakly uniformly recurrence and asymptotically sensitive dependence on initial conditions (to be defined below) on hyper space .