Nonlinear mean ergodic theorems for nonexpansive semigroups in Banach spaces

被引：0

作者：

Hiromichi Miyake

Wataru Takahashi

机构：

[1] Tokyo Institute of Technology,Department of Mathematical and Computing Sciences

来源：

Journal of Fixed Point Theory and Applications | 2007年 / 2卷

关键词：

47H10; 47H20; 47A35; Nonlinear ergodic theorem; nonexpansive semigroup; invariant mean;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove two nonlinear ergodic theorems for noncommutative semigroups of nonexpansive mappings in Banach spaces. Using these results, we obtain some nonlinear ergodic theorems for discrete and one-parameter semigroups of nonexpansive mappings.

引用

页码：369 / 382

页数：13

共 50 条

[31] ERGODIC AND FIXED POINT THEOREMS FOR BREGMAN NONEXPANSIVE SEQUENCES AND MAPPINGS IN BANACH SPACES
Rouhani B.D.
Khatibzadeh H.
Mohebbi V.
Applied Set-Valued Analysis and Optimization, 2022, 4 (03): : 311 - 321
[32] NONLINEAR ERGODIC-THEOREMS FOR COMMUTATIVE SEMIGROUPS OF ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS
OKA, H
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 18 (07) : 619 - 635
[33] Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces
Piri, Hossein
Kumam, Poom
FIXED POINT THEORY AND APPLICATIONS, 2014,
[34] Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces
Hossein Piri
Poom Kumam
Fixed Point Theory and Applications, 2014
[35] NONLINEAR ERGODIC THEOREM FOR POSITIVELY HOMOGENEOUS NONEXPANSIVE MAPPINGS IN BANACH SPACES
Takahashi, Wataru
Wong, Ngai-Ching
Yao, Jen-Chih
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2014, 35 (01) : 85 - 98
[36] NONLINEAR ERGODIC-THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS IN BANACH-SPACES SATISFYING OPIAL CONDITION
GORNICKI, J
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 161 (02) : 440 - 446
[37] Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces
Zuo, Zhanfei
ABSTRACT AND APPLIED ANALYSIS, 2014,
[38] A mean ergodic theorem for nonlinear semigroups which are asymptotically nonexpansive in the intermediate sense
Kaczor, W
Kuczumow, T
Reich, S
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (01) : 1 - 27
[39] AN ERGODIC THEOREM FOR NONLINEAR SEMIGROUPS OF LIPSCHITZIAN MAPPINGS IN BANACH-SPACES
TAN, KK
XU, HK
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1992, 19 (09) : 805 - 813
[40] Total quasi-ϕ-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces
Shih-sen Chang
Jong Kyu Kim
Lin Wang
Fixed Point Theory and Applications, 2012

← 1 2 3 4 5 →