Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces
Tom 131 / 1998
Studia Mathematica 131 (1998), 289-302
DOI: 10.4064/sm-131-3-289-302
Streszczenie
Under different compactness assumptions pointwise and mean ergodic theorems for subadditive superstationary families of random sets whose values are weakly (or strongly) compact convex subsets of a separable Banach space are presented. The results generalize those of [14], where random sets in $ℝ^d$ are considered. Techniques used here are inspired by [3].