We introduce domain theory in dynamical systems, iterated function systems (fractals) and measure theory. For a discrete dynamical system given by the action of a continuous map f : X ! X on a metric space X, we study the extended dynamical systems (V X; V f), (UX; Uf) and (LX;Lf) where V , U and L are respectively the Vietoris hyperspace, the upper hyperspace and the lower hyperspace functors....

A distinguishing feature of hypermedia applications is the possibility of navigational access by the user. Although this type of access can be an advantage, there many problems associated with it, for example user disorientation ("lost in hyperspace"). This paper presents the concept of navigational context, which is used to design the navigation structure of a hypermedia application. Navigatio...

We fill the gap in understanding the relationship between mappings which are condensing w.r.t. the measure of noncompactness defined on the hyperspace and multifunctions condensing in the ordinary sense.