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渐近非扩张型映象不动点具误差的迭代逼近
引用本文:孙昭洪,何昌.渐近非扩张型映象不动点具误差的迭代逼近[J].数学学报,2004,47(4):811-818.
作者姓名:孙昭洪  何昌
作者单位:1. 玉溪师范学院数学系,玉溪,653100
2. 大理学院数学系,大理,671000
基金项目:云南省自然科学基金(2002A0058M)
摘    要:本文在一致凸Banach空间中给出几个具误差的渐近非扩张型映象的不动点的迭代逼近定理,这些定理改进和扩展了最近一些文献的相关结果,所用的证明方法也不同。

关 键 词:渐近非扩张型映象  不动点  迭代序列
文章编号:0583-1431(2004)04-0811-08

Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Type Mappings with Error Member
Zhao Hong SUN.Iterative Approximation of Fixed Points for Asymptotically Nonexpansive Type Mappings with Error Member[J].Acta Mathematica Sinica,2004,47(4):811-818.
Authors:Zhao Hong SUN
Institution:Zhao Hong SUN Department of Mathematics, Yuxi Normal College, Yuxi 653100, P. R. China E-mail: ztnyq@vit.km169.net Chang HE Department of Mathematics, Dali College, Dali 671000, P. R. China
Abstract:In the paper, we obtain some iterative approximation theorems of fixed points for asymptotically nonexpansive mappings with error member in uniformly convex Banach space. Our results improve and extend some recent results. Also, the methods of proof given in this paper are quite different.
Keywords:Asymptotically nonexpansive type of mapping  Fixed point  Iterative sequence with error member
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