渐近非扩张映象公共不动点具误差的弱和强收敛定理  

Weak and Strong Convergence Theorems of Common Fixed Points for Asymptotically Nonexpansive Mappings with Errors

作　　者：赵良才[1] 刘志平[1] 

机构地区：[1]宜宾学院数学系,四川宜宾644000

出　　处：《宜宾学院学报》2006年第12期19-21,共3页Journal of Yibin University

摘　　要：设E是一致凸的Banach空间,C是E的非空有界闭凸子集．本文证明了,在一定条件下,三个渐近非扩张映象公共不动点具误差的迭代序列的弱和强收敛定理．本文结果也推广和改进了最近一些人的最新结果．E is a real uniformly convex Banach space and C is a nonempty closed convex subset of E. It is shown that under some suitable conditions, there is a theorem of weak and strong convergence theorems of iterative sequences with errors to a common fixed point for three asymptotically nonexpansive mappings in Banach spaces. The results presented in this article also extend and improve some recent results.

关 键 词：渐近非扩张映象 OPIAL条件 半闭原理 公共不动点 

分 类 号：O177.91[理学—数学]