| Lipschitz增生算子方程带误差Ishikawa迭代的收敛性 |
| |
| 引用本文： | 黎永锦.Lipschitz增生算子方程带误差Ishikawa迭代的收敛性[J].中山大学学报(自然科学版),2004,43(4):10-13. |
| |
| 作者姓名： | 黎永锦 |
| |
| 作者单位： | 中山大学数学系,广东,广州,510275 |
| |
| 基金项目： | 中山大学校科研和教改项目 |
| |
| 摘 要： | 设E是任意实Banach空间,T:E→E是Lipschitz的增生算子,在∞∑n-0αn=∞,αn→0和lim sup βL(L 1)＜1的条件下研究了带误差的Ishikawa迭代序列收敛到方程Tx=f的惟一解的问题.
|
| 关 键 词： | 强增生算子 非线性方程 Ishikawa具误差的迭代序列 |
| 文章编号： | 0529-6579(2004)04-0010-04 |
| 修稿时间： | 2003年9月23日 |
The Convergence of Ishikawa Iterative Sequence with Errors for Lipschitz Accretive Operators in Banach Spaces |
| |
| LI Yong-jin.The Convergence of Ishikawa Iterative Sequence with Errors for Lipschitz Accretive Operators in Banach Spaces[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2004,43(4):10-13. |
| |
| Authors: | LI Yong-jin |
| |
| Abstract: | The iterative solution is studied for equation x Tx=f with an accretive Lipschitz operator in arbitrary real Banach spaces, and some previous results are improved. |
| |
| Keywords: | accretive operator nonlinear equation Ishikawa iterative sequences with errors |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
