FIXED POINT AND MEAN ERGODIC THEOREMS FOR NEW NONLINEAR MAPPINGS IN HILBERT SPACES

被引：0

作者：

Maruyama, Toru ^{[1
]}

Takahashi, Wataru ^{[1
,2
]}

Yao, Masayuki ^{[3
]}

机构：

[1] Keio Univ, Dept Econ, Minato Ku, Tokyo 1088345, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan

[3] Keio Univ, Grad Sch Econ, Minato Ku, Tokyo 1088345, Japan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2011年 / 12卷 / 01期

基金：

日本学术振兴会;

关键词：

Hilbert space; nonexpansive mapping; nonspreading mapping; hybrid mapping; fixed point; mean convergence; WEAK-CONVERGENCE THEOREMS; NONEXPANSIVE-MAPPINGS; HYBRID MAPPINGS; OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first consider a broad class of nonlinear mappings containing the class of generalized hybrid mappings defined by Kocourek, Takahashi and Yao [11] in a Hilbert space. Then, we prove a fixed point theorem, a mean ergodic theorem of Baillon's type [2] and a weak convergence theorem of Mann's type [14] for these nonlinear mappings in a Hilbert space.

引用

页码：185 / 197

页数：13

共 50 条

[31] FIXED POINT THEOREMS FOR NONLINEAR SEMICONTRACTIVE MAPPINGS IN BANACH SPACES
BROWDER, FE
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1966, 21 (04) : 259 - &
[32] Fixed-Point Theorems for Mean Nonexpansive Mappings in Banach Spaces
Zuo, Zhanfei
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[33] FIXED POINT THEOREMS FOR MEAN NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
Zhou, Jing
Cui, Yunan
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (09) : 1224 - 1238
[34] FIXED POINT THEOREMS FOR NONLINEAR MAPPINGS AND STRICT CONVEXITY OF BANACH SPACES
Dhompongsa, S.
Fupinwong, W.
Takahashi, W.
Yao, J. -C.
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2010, 11 (01) : 175 - 183
[35] FIXED POINT THEOREMS FOR NONLINEAR MAPPINGS OF NONEXPANSIVE TYPE IN BANACH SPACES
Ibaraki, Takanori
Takahashi, Wataru
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2009, 10 (01) : 21 - 32
[36] Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications
Cui, Yujun
Sun, Jingxian
[J]. POSITIVITY, 2011, 15 (03) : 455 - 464
[37] Fixed point theorems for a class of nonlinear operators in Hilbert spaces and applications
Yujun Cui
Jingxian Sun
[J]. Positivity, 2011, 15 : 455 - 464
[38] Mean convergence theorems using hybrid methods to find common fixed points for noncommutative nonlinear mappings in Hilbert spaces
Atsumasa Kondo
[J]. Journal of Applied Mathematics and Computing, 2022, 68 : 217 - 248
[39] ATTRACTIVE POINT AND MEAN CONVERGENCE THEOREMS FOR SEMIGROUPS OF MAPPINGS WITHOUT CONTINUITY IN HILBERT SPACES
Takahashi, Wataru
Wong, Ngai-Ching
Yao, Jen-Chih
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2014, 15 (06) : 1087 - 1103
[40] Mean convergence theorems using hybrid methods to find common fixed points for noncommutative nonlinear mappings in Hilbert spaces
Kondo, Atsumasa
[J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 68 (01) : 217 - 248

← 1 2 3 4 5 →