| 增算子的不动点定理及其应用 |
| |
| 引用本文： | 许绍元.增算子的不动点定理及其应用[J].江西师范大学学报(自然科学版),2000,24(1):25-27. |
| |
| 作者姓名： | 许绍元 |
| |
| 作者单位： | 淮北煤炭师范学院数学系,安徽,淮北,235000 |
| |
| 摘 要： | 利用锥理论研究非线性增算子 ,当映序区间入序区间时 ,不动点的存在性 .引入序Lip schitz条件 ,不要求算子的任何紧性 ,证明了不动点存在唯一 ,并且可用迭代法求出 .将所获结果应用于非线性常微分方程两点边值问题 ,得到了新结果 .
|
| 关 键 词： | 正规锥 增算子 不动点定理 非线性算子方程 |
| 修稿时间： | 1999-07-20 |
A New Fixed Point Theorem for Increasing Operators and Its Applications |
| |
| XU Shao-yuan.A New Fixed Point Theorem for Increasing Operators and Its Applications[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2000,24(1):25-27. |
| |
| Authors: | XU Shao-yuan |
| |
| Abstract: | In this paper,the existence of the fixed point for nonlinear increasing operators is discussed by using cone theory.We introduce order Lipschitz condition,and get existence and uniqueness of the fixed point without any compactness of the operators.Moreover,the exactly one fixed point can be obtained by a successive method.Besides,we apply these results to the two point boundory value problem of the ordinary differential equation. |
| |
| Keywords: | normal cone increasing operator order Lipschitz condition fixed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
