| 一类增算子不动点定理及其应用 |
| |
| 引用本文： | 赵巧玲,王建平.一类增算子不动点定理及其应用[J].大学数学,2008,24(3):88-93. |
| |
| 作者姓名： | 赵巧玲 王建平 |
| |
| 作者单位： | 1. 商丘师范学院,数学系,河南,商丘,476000
2. 河南农业大学信息与管理科学学院,河南,郑州,450002 |
| |
| 基金项目： | 河南省教育厅科研项目
,
商丘师范学院校科研和教改项目 |
| |
| 摘 要： | 利用锥理论和非对称迭代方法,讨论了不具有连续性和紧性条件的增算子方程解的存在唯一性.作为其应用着重讨论了非增算子方程解的存在唯一性,并给出了迭代序列收敛于解的误差估计,改进和推广了某些已知结果.
|
| 关 键 词： | 锥与半序 增算子 非对称迭代 不动点 |
Fixed Point Theorems of a Class of Increasing Operators and Applications |
| |
| ZHAO Qiao-ling,WANG Jian-ping.Fixed Point Theorems of a Class of Increasing Operators and Applications[J].College Mathematics,2008,24(3):88-93. |
| |
| Authors: | ZHAO Qiao-ling WANG Jian-ping |
| |
| Abstract: | By using the cone theory and non-symmetry iteration method,it is studied the existence and uniqueness of solutions of increasing operator equations without continuity and compactness conditions.For it's application,it is mainly studied the existence and uniqueness of solutions of non-increasing operator equations.And the iteration sequences which converge to solution of perator equations and the error estimates are also given.The results presented here improve and generalize some corresponding results. |
| |
| Keywords: | cone and partial ordering increasing operator nonsymmetric iteration fixed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
