Bounds for a nonlinear ergodic theorem for Banach spaces

被引：2

作者：

Freund, Anton ^{[1
]}

Kohlenbach, Ulrich ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, Schlossgartenstr 7, D-64289 Darmstadt, Germany

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2023年 / 43卷 / 05期

关键词：

nonlinear ergodic theorem; Banach space; quantitative analysis; proof mining; metastability; ASYMPTOTIC-BEHAVIOR; NONEXPANSIVE-MAPPINGS; CONVEX; CONTRACTIONS; CONVERGENCE; PROOF;

D O I：

10.1017/etds.2022.4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We 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 Cesaro means of non-expansive maps on Banach spaces.

引用

页码：1570 / 1593

页数：24

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