Strong Convergence Theorems by Hybrid Methods for Maximal Monotone Operators and Relatively Nonexpansive Mappings in Banach Spaces

被引：0

作者：

Inoue, Go ^{[1
]}

Takahashi, Wataru ^{[1
]}

Zembayashi, Kei ^{[1
]}

机构：

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

来源：

JOURNAL OF CONVEX ANALYSIS | 2009年 / 16卷 / 3-4期

关键词：

FIXED-POINTS; WEAK; APPROXIMATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove strong convergence theorems for finding a common element of the zero point set of a maximal monotone operator and the fixed point set of a relatively nonexpansive mapping in a Banach space by using two hybrid methods. Using these results, we obtain new convergence results for resolvents of maximal monotone operators and relatively nonexpansive mappings in Banach spaces.

引用

页码：791 / 806

页数：16

共 50 条

[31] STRONG CONVERGENCE THEOREMS FOR RESOLVENTS OF ACCRETIVE OPERATORS AND NONEXPANSIVE MAPPINGS IN BANACH SPACES
Jung, Jong Soo
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2020, 21 (01) : 31 - 47
[32] Modified Halpern-type iterative methods for relatively nonexpansive mappings and maximal monotone operators in Banach spaces
Huan-chun Wu
Cao-zong Cheng
[J]. Fixed Point Theory and Applications, 2014
[33] STRONG CONVERGENCE THEOREMS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES
Tomizawa, Yukino
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2013, 14 (02) : 281 - 299
[34] Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
Takahashi, Wataru
Zembayashi, Kei
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (01) : 45 - 57
[35] STRONG CONVERGENCE THEOREMS BY HYBRID METHODS FOR FAMILIES OF NEW GENERALIZED NONEXPANSIVE MAPPINGS IN BANACH SPACES
Alsulami, Saud M.
Latif, Abdul
Takahashi, Wataru
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2017, 18 (04) : 719 - 741
[36] Strong Convergence Theorems for Maximal Monotone Operators with Nonlinear Mappings in Hilbert Spaces
S. Takahashi
W. Takahashi
M. Toyoda
[J]. Journal of Optimization Theory and Applications, 2010, 147 : 27 - 41
[37] Strong Convergence Theorems for Maximal Monotone Operators with Nonlinear Mappings in Hilbert Spaces
Takahashi, S.
Takahashi, W.
Toyoda, M.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 147 (01) : 27 - 41
[38] Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
Nilsrakoo, Weerayuth
Saejung, Satit
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (14) : 6577 - 6586
[39] Weak and strong convergence theorems for relatively nonexpansive multi-valued mappings in Banach spaces
Simin Homaeipour
Abdolrahman Razani
[J]. Fixed Point Theory and Applications, 2011
[40] Weak Convergence Theorems for Bregman Relatively Nonexpansive Mappings in Banach Spaces
Pang, Chin-Tzong
Naraghirad, Eskandar
Wen, Ching-Feng
[J]. JOURNAL OF APPLIED MATHEMATICS, 2014,

← 1 2 3 4 5 →