Ergodic theorems for subadditive superstationary families of random sets with values in Banach spaces
Volume 131 / 1998
                    
                    
                        Studia Mathematica 131 (1998), 289-302                    
                                        
                        DOI: 10.4064/sm-131-3-289-302                    
                                    
                                                Abstract
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].
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            