“渐近非扩张映象不动点具误差的迭代逼近”的注记  

A Note About "Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Type Mappings with Error Member"

作　　者：王绍荣[1] 杨泽恒[1] 熊明[1] 

机构地区：[1]大理学院数学与计算机学院,大理671000

出　　处：《数学学报（中文版）》2008年第4期671-676,共6页Acta Mathematica Sinica：Chinese Series

基　　金：云南省自然科学基金(2006A0089M)

摘　　要：本文在去掉条件"T在D上一致渐近正则"的情况下,在一致凸Banach空间中给出了几个渐近拟非扩张型映象和渐近非扩张型映象不动点的迭代逼近定理.这些定理推广和发展了最近一些文献的相关成果,并且改进了定理的证明方法.In the paper, we obtain some iterative approximation theorems of fixed points for asymptotically quasi-nonexpansive type mapping and asymptotically nonexpansive type mapping with error member in uniformly convex Banach space without the condition ＂for A↓ε 〉 0, n0 ∈ N＋, A↓n ≥ no and A↓x ∈ D, suth that ｜｜T^nx - T^n＋1x｜｜ 〈 ε.＂ our results improve and extend some recent results.Also improve for the theorem of methods of proof.

关 键 词：渐近拟非扩张型映象 具误差的Ishikawa迭代序列 不动点 

分 类 号：O177.91[理学—数学]