Strong convergence theorems of the CQ method for nonexpansive semigroups

被引:13
作者
He, Huimin [1 ]
Chen, Rudong [1 ]
机构
[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
关键词
D O I
10.1155/2007/59735
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Motivated by T. Suzuki, we show strong convergence theorems of the CQ method for nonexpansive semigroups in Hilbert spaces by hybrid method in the mathematical programming. The results presented extend and improve the corresponding results of Kazuhide Nakajo and Wataru Takahashi ( 2003).
引用
收藏
页数:8
相关论文
共 15 条
[1]  
[Anonymous], GRADUATE TEXTS MATH
[4]  
CHEN R, IN PRESS APPL MATH L
[5]   Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings [J].
Chen, RD ;
Song, YS ;
Zhou, HY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :701-709
[6]   Viscosity approximation fixed points for nonexpansive and m-accretive operators [J].
Chen, Rudong ;
Zhu, Zhichuan .
FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[7]   Strong convergence of the CQ method for fixed point iteration processes [J].
Martinez-Yanes, C ;
Xu, HK .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (11) :2400-2411
[8]   Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups [J].
Nakajo, K ;
Takahashi, W .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 279 (02) :372-379
[10]   Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces [J].
Shioji, N ;
Takahashi, W .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 34 (01) :87-99