| [0,1]上带参数光滑自映射不动点的图论性质及其应用 |
| |
| 引用本文： | 刘成仕. [0,1]上带参数光滑自映射不动点的图论性质及其应用[J]. 纯粹数学与应用数学, 2003, 19(3): 286-290 |
| |
| 作者姓名： | 刘成仕 |
| |
| 作者单位： | 大庆石油学院数学系,黑龙江,大庆,163000 |
| |
| 摘 要： | 设f:I×I是光滑的,f=f(x,y),I=[o,1],y为参数,本文证明f的不动点组成的图有连通分枝.作为应用,给出了二维Brouwer不动点定理的新证明.这是迄今为止最直接的证明.,The graph properties of the fixed points of a continuous self-mapping on unit closed interval with a parameter were studied. The existence of some kind of connected branch was shown. By this result, a new proof of two dimensional Brouwer's fixed point theorem was given.
|
| 关 键 词： | 不动点 梯形图 费曼图 Brouwer不动点定理 |
The graph properties of the fixed points of smooth self-mapping on [0,1] with a parameter and their applications |
| |
| Abstract. The graph properties of the fixed points of smooth self-mapping on [0,1] with a parameter and their applications[J]. Pure and Applied Mathematics, 2003, 19(3): 286-290 |
| |
| Authors: | Abstract |
| |
| Abstract: | The graph properties of the fixed points of a continuous self-mapping on unit closed interval with a parameter were studied. The existence of some kind of connected branch was shown. By this result, a new proof of two dimensional Brouwer's fixed point theorem was given. |
| |
| Keywords: | fixed points ladder graph Feynmam diagram Brouwer's fixed point theorem |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
