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一致凸Banach空间上渐近准非扩张映象具有误差项的Ishikawa迭代序列的收敛性定理
引用本文:段龙伟,刘启厚.一致凸Banach空间上渐近准非扩张映象具有误差项的Ishikawa迭代序列的收敛性定理[J].山西大学学报(自然科学版),2001,24(4):295-298.
作者姓名:段龙伟  刘启厚
作者单位:[1]山西职工医学院基础部,山西太原030006 [2]北京航空航天大学应用数学系,北京100083
摘    要:证明了一致凸Banach空间上的紧凸子集上的渐近准非扩张映象和渐近非扩张映象的具有误差项的Ishikawa迭代序列的收敛性。

关 键 词:渐近准非扩张映象  收敛性  一致凸Banach空间  紧凸子集  Ishikawa迭代序列  误差项

Convergence Theorems of the Sequences of Ishikawa Iterates for Asymptotically Quasi-nonexpansive Mapping with Error Members in a Uniformly Convex Banach Space
DUAN Long-wei ,LIU Qi-hou.Convergence Theorems of the Sequences of Ishikawa Iterates for Asymptotically Quasi-nonexpansive Mapping with Error Members in a Uniformly Convex Banach Space[J].Journal of Shanxi University (Natural Science Edition),2001,24(4):295-298.
Authors:DUAN Long-wei  LIU Qi-hou
Institution:DUAN Long-wei 1,LIU Qi-hou 2
Abstract:In this paper,convergence theorems of the sequences of Ishikawa iterates for asymptotically quasi-nonexpansive mapping with error members in a uniformly convex Banach space are obtained.
Keywords:asymptotically quasi-nonexpansive mapping  sequences of iterates  convergence
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