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关于一致凸的Banach空间上的渐近非扩张映象的迭代序列的收敛性定理的注记 被引量：1

Note on Convergence Theorems of Iterative Sequences for Asymptotically Non-Expansive Mapping in a Uniformly Convex Banach Space
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摘要 本文研究了在一致凸Banach空间中定义在闭凸集C上渐近非扩张映象T不动点的迭代问题,我们的讨论去掉了在刘和薛[2]中C是有界的假设． In this paper, we approximate fixed point of asymptotically nonexpansive mapping T on a ciosed, convex subset C of a uniformly convex Banach space. Our argument removes the boundedness assumption on C, generalizing theorems of Liu and Xue.
作者 唐玉超 刘理蔚
机构地区 南昌大学数学系
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2007年第1期75-80,共6页 数学研究与评论（英文版）
基金 the National Natural Science Foundation of China(10561007) the Natural Science Foundation of Jiangxi Province(0411036).
关键词 渐近非扩张映射 修改的Ishikawa迭代序列 不动点 asymptotically nonexpansive mapping modified Ishikawa iterative sequence fixed points
分类号 O177.91 [理学—基础数学] O174.41 [理学—基础数学]
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共引文献9

同被引文献12

  • 1张石生.Banach空间中非扩张映象的黏性逼近方法[J].数学学报（中文版）,2007,50(3):485-492. 被引量：13
  • 2胡长松.渐近非扩张映射变分不等式的不动点解[J].应用数学,2007,20(3):609-613. 被引量：3
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Journal of Mathematical Research and Exposition
2007年 第1期

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