渐近非扩展映象的具误差的Ishikawa迭代序列的新强收敛定理  

Some New Strong Convergence Theorems for Ishikawa Iterative Sequences With Errors for Asymptotically Nonexpansive Mappings

作　　者：王绍荣[1] 

机构地区：[1]云南大理学院数学系,云南大理671000

出　　处：《应用泛函分析学报》2004年第2期187-192,共6页Acta Analysis Functionalis Applicata

基　　金：大理学院科研基金(2002X42)

摘　　要：　使用新的证明方法,在去掉数列{αn}单调递减的条件下,建立了一致凸Banach空间中的渐近非扩展映象不动点的具误差的Ishikawa迭代序列的新强收敛定理.其结果推广和改进了Schu,Rhoades及周海云等作者的相关结果.In the present paper, by new method we have established a new strong convergence theorem for the Ishikawa iterative sequences with errors without the restrictioon that {α_n} is decreasing for asymptotically nonexpansive mappings in uniformly convex Banach spaces. Our results improve and prefect the corresponding results announced by Schu, Rhoades and Zhou Hai-yun.

关 键 词：渐近非扩展映象 不动点 ISHIKAWA迭代序列 一致凸BANACH空间 Lipschitzian映象 

分 类 号：O177.91[理学—数学]