| 关于增生算子方程解的带误差的Ishikawa迭代程序 |
| |
| 引用本文： | 曾六川.关于增生算子方程解的带误差的Ishikawa迭代程序[J].数学物理学报(A辑),2004,4(6):654-660. |
| |
| 作者姓名： | 曾六川 |
| |
| 作者单位： | 曾六川（上海师范大学数学系,上海,200234） |
| |
| 基金项目： | 高等学校优秀青年教师教学和科研奖励基金、上海市高校科技发展基金(部分)和上海市曙光计划基金资助 |
| |
| 摘 要： | 该文在Banach空间中证明了，带误差的Ishikawa迭代序列强收敛到Lipschitz连续的增生算子方程的唯一解．而且，也给Ishikawa迭代序列提供了一般的收敛率估计．利用该结果还推得，带误差的Ishikawa迭代序列也强收敛到Lipschitz连续的强增生算子方程的唯一解．
|
| 关 键 词： | 任意实Banach空间 增生算子 带误差的Ishikawa迭代序列 收敛率估计 |
| 文章编号： | 1003-3998(2004)06-654-07 |
| 修稿时间： | 2002年3月28日 |
Ishikawa Iteration Process with Errors for Solutions to Equations Involving Accretive Operators |
| |
| Zeng Liuchuan.Ishikawa Iteration Process with Errors for Solutions to Equations Involving Accretive Operators[J].Acta Mathematica Scientia,2004,4(6):654-660. |
| |
| Authors: | Zeng Liuchuan |
| |
| Abstract: | It is shown that the Ishikawa iterative sequence with errors converges strongly to the unique solution of the equation involving the Lipschitz continuous accretive operator in a Banach space. Moreover, our result provides a general convergence rate estimate for the Ishikawa iterative sequence. From this result, it follows that the Ishikawa iterative sequence with errors also converges strongly to the unique solution of the equation of the Lipschitz continuous strongly accretive operator. |
| |
| Keywords: | Arbitrary real Banach space Accretive operator Ishikawa iterative sequence with errors Convergence rate estimate |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学物理学报(A辑)》浏览原始摘要信息 |
| 点击此处可从《数学物理学报(A辑)》下载免费的PDF全文 |
