Generic Convergence of Infinite Products of Nonexpansive Mappings in Banach and Hyperbolic Spaces

作者: Simeon Reich , Alexander J. Zaslavski

DOI: 10.1007/978-1-4757-6099-6_18

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摘要: In this survey we present several new and recent results concerning the asymptotic behavior of (random) infinite products generic sequences nonexpansive as well uniformly continuous operators on closed convex subsets a complete hyperbolic space. (Note that all normed linear spaces are hyperbolic.) Such find application in solution feasibility optimization problems many other areas mathematics. addition to weak ergodic theorems convergence unique common fixed point more generally, retraction, also discuss Krasnosel’skii-Mann iterations contractive (F)-attracting mappings.

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