Bounds for a nonlinear ergodic theorem for Banach spaces-Reference-Cited by-同舟云学术

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Bounds for a nonlinear ergodic theorem for Banach spaces

Published:2022-02-18 Issue:5 Volume:43 Page:1570-1593
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

FREUND ANTON^ORCID,KOHLENBACH ULRICH^ORCID

Abstract

AbstractWe extract quantitative information (specifically, a rate of metastability in the sense of Terence Tao) from a proof due to Kazuo Kobayasi and Isao Miyadera, which shows strong convergence for Cesàro means of non-expansive maps on Banach spaces.

Funder

Deutsche Forschungsgemeinschaft

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference32 articles.

1. Quantitative results on the proximal point algorithm in uniformly convex Banach spaces;Kohlenbach;J. Convex Anal,2021

2. A new metastable convergence criterion and an application in the theory of uniformly convex Banach spaces

3. On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak ω-limit set

4. A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces

5. Nonlinear ergodic theorems

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1. A computational study of a class of recursive inequalities;Journal of Logic and Analysis;2023-09-25

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