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一致凸Banach空间中渐近非扩展映象的迭代格式之新强收敛定理
引用本文:周海云,高改良,陈东青.一致凸Banach空间中渐近非扩展映象的迭代格式之新强收敛定理[J].应用泛函分析学报,2003,5(3):234-239.
作者姓名:周海云  高改良  陈东青
作者单位:石家庄机械工程学院数学系,河北,石家庄,050003
摘    要:通过使用新的分析技巧,建立了(关于)渐近非扩展映象的修正的迭代格式的强收敛定理.所得结果改进了Schu,Rhoades以及其他作相关的结果。

关 键 词:凸Banach空间  渐近非扩展映象  迭代格式  强收敛定理

Some New Strong Convergence Theorems for Iterative Schemes for Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces
ZHOU Hai-yun,GAO Gai-liang,CHEN Dong-qing.Some New Strong Convergence Theorems for Iterative Schemes for Asymptotically Nonexpansive Mappings in Uniformly Convex Banach Spaces[J].Acta Analysis Functionalis Applicata,2003,5(3):234-239.
Authors:ZHOU Hai-yun  GAO Gai-liang  CHEN Dong-qing
Abstract:In the present paper, by virtue of newanalysis technique, we have established a new strong convergence theorem for themodified Mann iteration scheme for a class of asymptotically nonexpansive mappi ngs in uniformly convex Banach spaces. Our results improve the recent ones annou nced by Schu, Rhoades and others.
Keywords:asymptotically nonexpansive mapping  modified Manniteration scheme  uniformly convex Banach space  
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