| Banach空间中含强增生算子的非线性方程的迭代解 |
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| 引用本文： | 周海云.Banach空间中含强增生算子的非线性方程的迭代解[J].应用数学和力学,1999,20(3):269-276. |
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| 作者姓名： | 周海云 |
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| 作者单位： | 军械工程学院基础部, 石家庄 050003 |
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| 摘 要： | 设X为实Banach空间,X*为其一致凸的共轭空间.设T:X→X为Lipschitzian强增生映象,L≥1为其Lipschitzian常数,k∈(0,1)为其强增生常数.设{αn},{βn}为0,1]中的两个实数列满足:(ⅰ)αn→0(n→∞);(ⅱ)βn<L(1+L)/k(1-k)(n≥0);(ⅲ).假设为X中两序列满足:=o(βn)与μn→0(n→∞).任取x0∈X,则由(IS)1xn+1=(1-αn)xn+αnSyn+unyn=(1-βn)xn+βnSxn+μn(n≥0){所定义的迭代序列{xn强收敛于方程T
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| 关 键 词： | 带误差的Ishikawa迭代 强增生映象 φ-半压缩映象 |
| 收稿时间： | 1997-04-28 |
Iterative Solution of Nonlinear Equations with Strongly Accretive Operators in Banach Spaces |
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| Zhou Haiyun.Iterative Solution of Nonlinear Equations with Strongly Accretive Operators in Banach Spaces[J].Applied Mathematics and Mechanics,1999,20(3):269-276. |
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| Authors: | Zhou Haiyun |
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| Institution: | Department of Basic Science, Ordnance Engineering College, Shijiazhuang 050003, P. R. China |
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