Ergodic Properties of Random Infinite Products of Nonexpansive Mappings
نویسندگان
چکیده
منابع مشابه
A Weak Ergodic Theorem for Infinite Products of Lipschitzian Mappings
Let K be a bounded, closed, and convex subset of a Banach space. For a Lipschitzian self-mapping A of K , we denote by Lip(A) its Lipschitz constant. In this paper, we establish a convergence property of infinite products of Lipschitzian self-mappings of K . We consider the set of all sequences {At}t=1 of such selfmappings with the property limsupt→∞ Lip(At) ≤ 1. Endowing it with an appropriate...
متن کاملErgodic Retractions for Families of Asymptotically Nonexpansive Mappings
Correspondence should be addressed to Shahram Saeidi, [email protected] Received 2 October 2009; Revised 10 January 2010; Accepted 14 March 2010 Academic Editor: Mohamed Amine Khamsi Copyright q 2010 Shahram Saeidi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided t...
متن کاملInfinite Products of Holomorphic Mappings
Let X be a complex Banach space, a norming set for X , and D ⊂ X a bounded, closed, and convex domain such that its norm closure D is compact in σ(X , ). Let ∅ = C ⊂D lie strictly inside D. We study convergence properties of infinite products of those selfmappings of C which can be extended to holomorphic self-mappings of D. Endowing the space of sequences of such mappings with an appropriate m...
متن کاملGeneric convergence of infinite products of nonexpansive mappings with unbounded domains
Citation: Reich S and Zaslavski AJ (2015) Generic convergence of infinite products of nonexpansive mappings with unbounded domains. We study the generic convergence of infinite products of nonexpansive mappings with unbounded domains in hyperbolic metric spaces.
متن کاملOn the convergence of three-step random iterative procesess with errors of nonself asymptotically nonexpansive random mappings
begin{abstract} In this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable Banach space. end{abstract}
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematics and Applications
سال: 2017
ISSN: 1733-6775,2300-9926
DOI: 10.7862/rf.2017.10