| Leray-Schauder不动点定理的一个新证明 |
| |
| 引用本文： | 范江华,李遥华.Leray-Schauder不动点定理的一个新证明[J].大学数学,2009,25(4). |
| |
| 作者姓名： | 范江华 李遥华 |
| |
| 作者单位： | 广西师范大学,数学科学学院,桂林,541004 |
| |
| 基金项目： | 广西科学基金资助项目 |
| |
| 摘 要： | 给出Leray-Schauder不动点定理的一个新证明.我们首先给出集值映射的焊接引理,利用集值映射的焊接引理和Kakutani不动点定理证明Leray-Schauder不动点定理,并证明Leray-Schauder不动点定理与Brouwer不动点定理等价.
|
| 关 键 词： | Leray-Schauder不动点定理 Brouwer不动点定理 Kakutani不动点定理 |
A New Proof of the Leray-Schauder Fixed Point Theorem |
| |
| FAN Jiang-hua,LI Yao-hua.A New Proof of the Leray-Schauder Fixed Point Theorem[J].College Mathematics,2009,25(4). |
| |
| Authors: | FAN Jiang-hua LI Yao-hua |
| |
| Abstract: | A new proof of the Leray-Schauder fixed point theorem is established in this paper.By the set valued version of pasting lemma and the Kakutani fixed point theorem,we prove the Leray-Schauder fixed point theorem.The equivlence between the Brouwer fixed point theorem and the Leray-Schauder fixed point theorem is established. |
| |
| Keywords: | Leray-Schauder fixed point theorem Brouwer fixed point theorem Kakutani fixed point theorem |
| 本文献已被 万方数据 等数据库收录！ |
|
