| Banach空间中几类非线性算子方程的迭代解法及其应用 |
| |
| 引用本文： | 张庆政. Banach空间中几类非线性算子方程的迭代解法及其应用[J]. 数学研究及应用, 2005, 25(2): 319-324 |
| |
| 作者姓名： | 张庆政 |
| |
| 作者单位： | 商丘师范学院计算机科学系,河南,商丘,476000 |
| |
| 基金项目： | 商丘市科技攻关项目(200211125) |
| |
| 摘 要： | 利用单调迭代技巧和锥与半序理论,讨论几类非线性二元算子方程解的存在性与唯一性, 并给出迭代序列收敛速度的估计,改进和推广了某些已有结果.最后给出所得结果的应用.
|
| 关 键 词： | 非线性算子 算子方程 迭代解法 锥与半序 |
| 文章编号： | 1000-341X(2005)02-0319-06 |
| 收稿时间： | 2003-01-20 |
| 修稿时间： | 2003-01-20 |
Iterative Solution of Some Classes of Nonlinear Operators Equations in Banach Space and Its Applications |
| |
| ZHANG Qing-zheng. Iterative Solution of Some Classes of Nonlinear Operators Equations in Banach Space and Its Applications[J]. Journal of Mathematical Research with Applications, 2005, 25(2): 319-324 |
| |
| Authors: | ZHANG Qing-zheng |
| |
| Affiliation: | Department of Computer Science; Shangqiu Teachers College; Henan; China |
| |
| Abstract: | By using the cone and partial ordering theory and the monotone iterative technique, we obtain the existence and uniqueness of solutions for some classes of nonlinear binary operators equations, and determial the convergence rate for iterative sequences. This extends known results. We also give the applications. |
| |
| Keywords: | nonlinear operator operator equations iterative solution cone and partial ordering. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
