Strong convergence theorems for quasi-nonexpansive mappings and maximal monotone operators in Hilbert spaces

被引：1

作者：

Wu, Huan-chun ^{[1
]}

Cheng, Cao-zong ^{[1
]}

Qu, De-ning ^{[1
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

quasi-nonexpansive mapping; maximal monotone operator; variational inequality; FIXED-POINT; HALPERNS TYPE; WEAK;

D O I：

10.1186/1029-242X-2014-318

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the strong convergence theorem for the iterative scheme for finding a common element of the fixed-point set of a quasi-nonexpansive mapping and the zero set of the sums of maximal monotone operators in Hilbert spaces. Our results extend and improve the recent results of Takahashi et al. (J. Optim. Theory Appl. 147: 27-41, 2010) and Takahashi and Takahashi (Nonlinear Anal. 69: 1025-1033, 2008).

引用

页数：12

共 50 条

[31] Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings
Klin-eam, Chakkrid
Suantai, Suthep
FIXED POINT THEORY AND APPLICATIONS, 2009,
[32] Strong Convergence of Monotone Hybrid Method for Maximal Monotone Operators and Hemirelatively Nonexpansive Mappings
Chakkrid Klin-eam
Suthep Suantai
Fixed Point Theory and Applications, 2009
[33] Strong convergence theorems of general split equality problems for quasi-nonexpansive mappings
Shih-sen Chang
Ravi P Agarwal
Journal of Inequalities and Applications, 2014
[34] Strong convergence theorems of general split equality problems for quasi-nonexpansive mappings
Chang, Shih-sen
Agarwal, Ravi P.
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[35] Strong convergence theorems for maximal monotone operators in Banach spaces
Ceng, L. C.
Schaible, S.
Yao, J. C.
OPTIMIZATION, 2010, 59 (06) : 807 - 819
[36] Some convergence theorems for mappings of asymptotically quasi-nonexpansive type in Banach spaces
S. S. Chang
Y. Y. Zhou
Journal of Applied Mathematics and Computing, 2003, 12 (1-2) : 119 - 127
[37] CONVERGENCE THEOREMS FOR ASYMPTOTICALLY QUASI-NONEXPANSIVE TYPE MAPPINGS IN CONVEX METRIC SPACES
Saluja, G. S.
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2014, 4 (01): : 45 - 57
[38] Strong convergence theorems for maximal monotone operators and continuous pseudocontractive mappings
Jung, Jong Soo
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (06): : 4409 - 4426
[39] Weak and Strong Convergence Results for the Modified Noor Iteration of Three Quasi-Nonexpansive Multivalued Mappings in Hilbert Spaces
Chaolamjiak, Watcharaporn
Khan, Suhel Ahmad
Hammad, Hasanen A.
Dutta, Hemen
FILOMAT, 2020, 34 (08) : 2495 - 2510
[40] Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems
Nammanee, Kamonrat
Suantai, Suthep
Cholamjiak, Prasit
JOURNAL OF APPLIED MATHEMATICS, 2012,

← 1 2 3 4 5 →