| 二元算子方程组解的存在唯一性 |
| |
| 引用本文： | 张斐然,刘鸣放.二元算子方程组解的存在唯一性[J].商丘师范学院学报,2001,17(2):53-58. |
| |
| 作者姓名： | 张斐然 刘鸣放 |
| |
| 作者单位： | 1. 商丘师范学院,数学系,河南,商丘,476000
2. 开封师专,数学系,河南,开封,475001 |
| |
| 基金项目： | 河南省教育厅重点科研资助项目(9811001200) |
| |
| 摘 要： | 利用非线性泛函分析中的锥与半序理论和单调迭代技巧，讨论了几类二元算子方程组解的存在性和唯一性，构造了几种形式的对称与非对称迭代，并给出各种迭代序列收敛于算子方程组解的误差估计，是某些已有结果的本质改进和推广。
|
| 关 键 词： | 锥 半序 混合单调算子 非对称迭代 二元算子方程组 解 存在唯一性 非线性泛函分析 |
| 文章编号： | 1008-2662(2001)02-0053-06 |
| 修稿时间： | 2000年6月10日 |
The sole existence of the solutions of the binary operator system of equations |
| |
| ZHANG Fei-ran,LIU Ming-fang.The sole existence of the solutions of the binary operator system of equations[J].Journal of Shangqiu Teachers College,2001,17(2):53-58. |
| |
| Authors: | ZHANG Fei-ran LIU Ming-fang |
| |
| Institution: | ZHANG Fei ran 1,LIU Ming fang 2 |
| |
| Abstract: | By using the cone and partial ordering theory,the monotonous succession skills in nonlinear functional analysis.It discusses the existence and sole nature of the solutions of some binary operator system of equations.And constructs several forms of symmetry and non symmetry succession,also gives all kinds of error estimate of iterative sequence convergence in the solution of operator system of equations.The results presented here improve and generalize some previous results. |
| |
| Keywords: | cone and partial ordering mix monotone operator non symmetry succession system of equations |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
