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渐近非扩展映象的多步迭代
引用本文:高改良,周海云,陈东青.渐近非扩展映象的多步迭代[J].应用泛函分析学报,2003,5(2):119-124.
作者姓名:高改良  周海云  陈东青
作者单位:石家庄机械工程学院数学系,河北,石家庄,05003
摘    要:建立了渐近非扩展映象族的多步迭代格式的几个强收敛结果,所得结果扩展并改进了Xu和Noor等人的最新结果.

关 键 词:渐近非扩展映象  多步迭代格式  强收敛  Banach空间  一致L-Lipschitz  Ishikawa迭代  Mann迭代  赋范线性空间

Multi-Step Iterations for Asymptotically Nonexpansive Mappings
GAO Gai-liang,ZHOU Hai-yun,CHEN Dong-qing.Multi-Step Iterations for Asymptotically Nonexpansive Mappings[J].Acta Analysis Functionalis Applicata,2003,5(2):119-124.
Authors:GAO Gai-liang  ZHOU Hai-yun  CHEN Dong-qing
Abstract:In the present paper, several strong convergence results for the modified multi-step iterative schemes for a class of asymptotically nonexpansive mappings were established. The results extend and improve the recent ones announced by Xu and Noor and others.
Keywords:asymptotically nonexpansive mapping  multi-step iterative scheme  convergence theorem
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