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).
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页数：12
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