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一致平滑Banach空间中一类非线性算子的Ishikawa迭代序列的收敛定理
引用本文:周海云.一致平滑Banach空间中一类非线性算子的Ishikawa迭代序列的收敛定理[J].数学学报,1997,40(5):751-758.
作者姓名:周海云
作者单位:军械工程学院基础部
摘    要:使用新的技巧,我们得到了连续强增生算子或连续强伪压缩算子的Ishikawa迭代序列的强收敛定理,推广或改进了近期相关的结果.

关 键 词:Ishikawa迭代,强增生算子,强伪压缩算子,Reich不等式,一致平滑Banach空间
收稿时间:1995-11-6
修稿时间:1996-6-24

Some Convergence Theorems for the Ishikawa Iterative Sequences of Certain Nonlinear Operators in Uniformly Smooth Banach Spaces
Zhou Haiyun.Some Convergence Theorems for the Ishikawa Iterative Sequences of Certain Nonlinear Operators in Uniformly Smooth Banach Spaces[J].Acta Mathematica Sinica,1997,40(5):751-758.
Authors:Zhou Haiyun
Institution:Zhou Haiyun (Ordnance Engineering College,Shijiazhuang 050003, China)
Abstract:In this paper, by a new technique, we have obtained some strong convergence theorems for the Ishikawa iterative sequences of strongly accrective mappings. Our results generalize and/or improve the recent coresponding those obtained by others.
Keywords:Ishikawa iteration  Strongly accretive operator  Strongly pseudocontractive operator  Reich's inequality  uniformly smooth Banach space  
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