Weak convergence theorem for Lipschizian pseudocontraction semigroups in Banach spaces

被引：0

作者：

Shi Sheng Zhang

机构：

[1] Yibin University,Department of Mathematics

来源：

Acta Mathematica Sinica, English Series | 2010年 / 26卷

关键词：

Lipschitzian pseudocontraction semigroup; demi-closed principle; common fixed point; Opial condition; strongly pseudocontractive mapping; implicit iteration process; 47H05; 47H10; 47H17;

D O I：

暂无

中图分类号：

学科分类号：

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)].

引用

页码：337 / 344

页数：7

共 50 条

[1] Weak convergence theorem for Lipschizian pseudocontraction semigroups in Banach spaces
Zhang, Shi Sheng
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (02) : 337 - 344
[2] Weak Convergence Theorem for Lipschizian Pseudocontraction Semigroups in Banach Spaces
Shi Sheng ZHANG Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2010, 26 (02) : 337 - 344
[3] Weak convergence theorem for Lipschitzian pseudocontraction semigroups in Banach spaces
Duong Viet Thong
[J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2011, 38 (02): : 1 - 6
[4] Convergence theorem of common fixed points for Lipschitzian pseudocontraction semigroups in Banach spaces
Chang, Shih-sen
Lee, H. W. Joseph
Chan, Chi Kin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2009, 212 (01) : 60 - 65
[5] ON THE WEAK CONVERGENCE THEOREM FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES
Yao, Rongjie
Yang, Liping
[J]. ANNALS OF FUNCTIONAL ANALYSIS, 2017, 8 (03) : 341 - 349
[6] Iterative Algorithms for Pseudocontraction Semigroups in Banach Spaces
Wangkeeree, Rabian
Preechasilp, Pakkapon
[J]. THAI JOURNAL OF MATHEMATICS, 2012, 10 (01): : 59 - 73
[7] A strong convergence theorem for contraction semigroups in Banach spaces
Xu, HK
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 72 (03) : 371 - 379
[8] Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
Sachiko Atsushiba
Wataru Takahashi
[J]. Fixed Point Theory and Applications, 2005
[9] Weak and strong convergence theorems for nonexpansive semigroups in Banach spaces
Atsushiba, Sachiko
Takahashi, Wataru
[J]. FIXED POINT THEORY AND APPLICATIONS, 2005, 2005 (03) : 343 - 354
[10] Weak Convergence Theorems for Semigroups of Not Necessarily Continuous Mappings in Banach Spaces
Alsulami, Saud M.
Hussain, Nawab
Takahashi, Wataru
[J]. JOURNAL OF CONVEX ANALYSIS, 2015, 22 (01) : 81 - 100

← 1 2 3 4 5 →