Strong convergence theorems by hybrid methods for countable families of nonlinear operators in Banach spaces

被引：7

作者：

Takahashi, Wataru ^{[1
]}

Yao, Jen-Chih ^{[2
]}

机构：

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

[2] Kaohsiung Med Univ, Ctr Gen Educ, Kaohsiung 80702, Taiwan

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2012年 / 11卷 / 02期

基金：

日本学术振兴会;

关键词：

Nonexpansive mapping; nonspreading mappings; fixed point; hybrid method; strong convergence theorem; duality theorem; FIXED-POINT THEOREMS; GENERALIZED NONEXPANSIVE-MAPPINGS; MAXIMAL MONOTONE-OPERATORS; PROXIMAL-TYPE ALGORITHM;

D O I：

10.1007/s11784-012-0075-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our purpose in this paper is first to obtain some results for fixed points and asymptotically fixed points of nonlinear operators in a Banach space. Using these results, we prove strong convergence theorems by hybrid methods for countable families of nonlinear operators with equilibrium problems in a Banach space.

引用

页码：333 / 353

页数：21

共 50 条

[21] Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces
Shigeo Ohsawa
Wataru Takahashi
Archiv der Mathematik, 2003, 81 : 439 - 445
[22] Strong convergence theorems for δ-inverse strongly accretive operators in banach spaces
Rezapour S.
Zakeri S.H.
Applied Set-Valued Analysis and Optimization, 2019, 1 (01): : 39 - 52
[23] Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces
Rabian Wangkeeree
Uthai Kamraksa
Fixed Point Theory and Applications, 2010
[24] Strong Convergence Theorems of Viscosity Iterative Methods for a Countable Family of Strict Pseudo-contractions in Banach Spaces
Wangkeeree, Rabian
Kamraksa, Uthai
FIXED POINT THEORY AND APPLICATIONS, 2010,
[25] STRONG CONVERGENCE THEOREMS BY HYBRID METHODS FOR FAMILIES OF RELATIVELY NONEXPANSIVE MAPPINGS IN HILBERT SPACES
Butsan, T.
Dhompongsa, S.
Takahashi, W.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2010, 11 (02) : 215 - 227
[26] Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces
Takahashi, Wataru
Yao, Jen-Chih
FIXED POINT THEORY AND APPLICATIONS, 2015, : 1 - 13
[27] Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces
Wataru Takahashi
Jen-Chih Yao
Fixed Point Theory and Applications, 2015
[28] Convergence theorems for accretive operators in Banach spaces
Guo, Yan
He, Jiwei
Yang, Yanmei
INTELLIGENT STRUCTURE AND VIBRATION CONTROL, PTS 1 AND 2, 2011, 50-51 : 224 - +
[29] STRONG CONVERGENCE THEOREMS FOR RESOLVENTS OF ACCRETIVE OPERATORS AND NONEXPANSIVE MAPPINGS IN BANACH SPACES
Jung, Jong Soo
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (01) : 31 - 47
[30] Strong convergence theorems for commutative semigroups of continuous linear operators on Banach spaces
Eshita, K
Takahashi, W
TAIWANESE JOURNAL OF MATHEMATICS, 2005, 9 (04): : 531 - 550

← 1 2 3 4 5 →