| Banach空间中非线性Lipschitz强伪压缩算子方程的收敛性 |
| |
| 引用本文： | 刘惠清,何震.Banach空间中非线性Lipschitz强伪压缩算子方程的收敛性[J].河北大学学报(自然科学版),2004,24(4):353-356. |
| |
| 作者姓名： | 刘惠清 何震 |
| |
| 作者单位： | 河北大学,数学与计算机学院,河北,保定,071002 |
| |
| 摘 要： | 在任意Banach空间中,在迭代参数没有任何几何限制的情况下,对非线性增生和伪压缩算子方程引入三重迭代程序,研究其收敛性问题.新的迭代程序强收敛到算子方程Tx=f或x+Tx=f的唯一解,Ishikawa迭代和Mann迭代将作为本迭代程序的特例.
|
| 关 键 词： | Banach空间 增生和伪压缩算子 三重迭代 |
| 文章编号： | 1000-1565(2004)04-0353-04 |
| 修稿时间： | 2004年1月25日 |
Convergence for Nonlinear Lipschitz Strong Pseudo-contractive Operator Equations in Banach Space |
| |
| LIU Hui-qing,HE Zhen.Convergence for Nonlinear Lipschitz Strong Pseudo-contractive Operator Equations in Banach Space[J].Journal of Hebei University (Natural Science Edition),2004,24(4):353-356. |
| |
| Authors: | LIU Hui-qing HE Zhen |
| |
| Abstract: | The purpose of this paper is to introduce a three-step iterative scheme and to study its convergence problem for nonlinear accretive and strongly pseudo-contractive operator equations in arbitrary Banach spaces without any geometric restrictions on the iteration parameters. The new iterative scheme converges strongly to the unique solution of the operator equation Tx=f or x+Tx=f. The scheme includes Ishikawa-type and Mann-type iterations as the special cases. |
| |
| Keywords: | Banach spaces accretive and pseudo-contractive operators three-step iterations |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《河北大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《河北大学学报(自然科学版)》下载免费的PDF全文 |
