Multivalued topological fractals

Multivalued fractals are considered as fixed-points of certain induced union operators, called the Hutchinson–Barnsley operators, in hyperspaces of compact subsets of the original spaces endowed with the Hausdorff metric. Here, we present fractal set results for system of continuous set-valued maps on regular topological spaces..

Keywords:

Topological contraction , Measure of noncom-pastiness , generalized μ-set contraction , Fractal set