Ergodic Properties of Random Infinite Products of Nonexpansive Mappings
Journal Title: Journal of Mathematics and Applications - Year 2017, Vol 40, Issue
Abstract
In this paper we are concerned with the asymptotic behavior of random (unrestricted) infinite products of nonexpansive selfmappings of closed and convex subsets of a complete hyperbolic space. In contrast with our previous work in this direction, we no longer assume that these subsets are 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.
Authors and Affiliations
Simeon Reich, Alexander J. Zaslavski
Keywords
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- EP ID EP342929
- DOI 10.7862/rf.2017.10
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