渐近非扩张映象带误差项迭代序列的收敛性  

Convergence of Ishikawa Iterative Sequences with Errors for Asymptotically Nonexpansive Mappings

作　　者：刘瑞娟[1] 肖翔[1] 

机构地区：[1]上海工程技术大学基础教学学院,上海201620

出　　处：《上海工程技术大学学报》2009年第2期184-186,共3页Journal of Shanghai University of Engineering Science

摘　　要：讨论一致凸Banach空间E中的非空闭凸子集上渐近非扩张映象不动点集非空的充要条件,以及修正的带误差项的Ishikawa迭代序列收敛到不动点的充要条件,推广与发展了曾六川、于延荣等人的相应结果.This paper mainly shows that sufficient and necessary conditions of nonempty fixed points and sufficient and necessary conditions of the modified Ishikawa iteration sequences with errors converged to fixed points for asymptotically nonexpansive mappings of a nonempty closed convex subset in an uniformly convex Banach space. The results presented also extended and improved some recent results.

关 键 词：不动点 渐近非扩张映射 一致凸BANACH空间 ISHIKAWA迭代序列 

分 类 号：O177.91[理学—数学]