Weak convergence theorem for Lipschizian pseudocontraction semigroups in Banach spaces

被引：7
|
作者：
Zhang, Shi Sheng [1 ]
机构：
[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 02期
关键词：
Lipschitzian pseudocontraction semigroup; demi-closed principle; common fixed point; Opial condition; strongly pseudocontractive mapping; implicit iteration process; IMPLICIT ITERATION PROCESS; COMMON FIXED-POINTS; FINITE FAMILY; NONEXPANSIVE-MAPPINGS;
D O I：
10.1007/s10114-010-7610-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to study the weak convergence problems of the implicity iteration process for Lipschitzian pseudocontraction semigroups in general Banach spaces. The results presented in this paper extend and improve the corresponding results of Zhou [Nonlinear Anal., 68, 2977-2983 (2008)], Chen, et al. [J. Math. Anal. Appl., 314, 701-709 (2006)], Xu and Ori [Numer. Funct. Anal. Optim, 22, 767-773 (2001)] and Osilike [J. Math. Anal. Appl., 294, 73-81 (2004)].
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页码：337 / 344
页数：8
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