Banach空间中Lipschitz伪压缩半群公共不点的强收敛定理

张石生

Banach空间中Lipschitz伪压缩半群公共不点的强收敛定理

张石生

宜宾学院数学系,四川宜宾 644007

基金项目: 宜宾学院自然科学基金(2007Z3)

详细信息

作者简介:
张石生(1934- ),男,云南曲靖人,教授(E-mail:changss@yahoo.cn).

中图分类号: O177.91
计量
- 文章访问数: 2717
- HTML全文浏览量: 109
- PDF下载量: 543
- 被引次数: 0
出版历程
- 收稿日期: 2008-03-11
- 修回日期: 2008-12-25
- 刊出日期: 2009-02-15

Convergence Theorem of Common Fixed Points for Lipschitzian Pseudocontraction Semigroups in Banach Spaces

ZHANG Shi-sheng

Department of Mathematics, Yibin University, Yibin, Sichuan 544007, P. R. China

摘要

摘要: 在Banach空间的框架下,建立了几个关于Lipschitz伪压缩半群的隐迭代程序的弱收敛定理．所得结果改进和推广了Zhou,Chen等,Xu等及Osilike等人的最新结果．
- Lipschitz伪压缩半群 /
- 半闭原理 /
- 公共不动点 /
- Opial条件 /
- 强伪压缩映象 /
- 隐迭代程序
Abstract: Some weak convergence theorems of the impliaty iteration precess for a Iapschitaan pseu-docontractive semi-groups in general Banach spaces were established, which extend and improve the corcespondin A new results of Zhou, Chen, et al, Xu, et al and Osilike.
- lipschitzian pseudocontraction semigroup /
- demi-closed principle /
- common fixed point Opial condition /
- strong pseudocontraction mapping /
- implicit iteration process /

HTML全文

参考文献(10)

[1]	Browder F E.Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces[M].Proc Sympos Pure Math,18(2).Providence RI:Amer Math Soc,1976.
[2]	Kim T H,Xu H K.Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups[J].Nonlinear Anal,2006,64(5):1140-1152. doi: 10.1016/j.na.2005.05.059
[3]	Xu H K.Strong asymptotic behavior of almost-robits of nonlinear semigroups[J].Nonlinear Anal,2001,46(1):135-151. doi: 10.1016/S0362-546X(99)00453-8
[4]	Deimling K.Zeros of accretive operators[J].Manuscripta Math,1974,13(4):365-374. doi: 10.1007/BF01171148
[5]	Chang S S,Cho Y J,Zhou H Y.Iterative Methods for Nonlinear Operator Equations in Banach Spaces[M].New York:Nova Science Publishers,2002.
[6]	Xu H K,Ori R G.An implicit iteration process for nonexpansive mappings[J].Numer Func Anal Optim,2001,22(5/6):767-773. doi: 10.1081/NFA-100105317
[7]	Osilike M O.Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps[J].J Math Anal Appl,2004,294(1):73-81. doi: 10.1016/j.jmaa.2004.01.038
[8]	Chen R D,Song Y S,Zhai H Y.Convergence theorems for implicit iteration press for a finite family of continuous pseudocontractive mappings[J].J Math Anal Appl,2006,314(2):701-709. doi: 10.1016/j.jmaa.2005.04.018
[9]	Zhou H Y. Convergence theorems of common fixed points for a finite family of Lipschitzian pseudocontractions in Banach spaces[J].Nonlinear Anal,2008,68(10):2977-2983. doi: 10.1016/j.na.2007.02.041
[10]	Bruck R E.A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces[J].Israel J Math,1979,32(1):107-116. doi: 10.1007/BF02764907