Ergodic Properties of Random Infinite Products of Nonexpansive Mappings

In this paper we are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive self-mappings of closed and convex subsets of a complete hyperbolic space. In contrast withourprevious work in this direction, we no longer assume that these subsetsare bounded. We first establish two theorems regarding the stability of the random weak ergodic property and then prove a related generic result.These results also extend our recent investigations regarding nonrandom infinite products.

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