| A-映象的不动点指数及其应用 |
| |
| 引用本文： | 兰坤泉.A-映象的不动点指数及其应用[J].四川师范大学学报(自然科学版),1993(3). |
| |
| 作者姓名： | 兰坤泉 |
| |
| 作者单位： | 四川师范大学数学系 |
| |
| 摘 要： | 本文建立了A-映象的不动点指数理论,它类似于A-proper 映象的不动点指数理论;前者不要求空间具有完备投影逼近格式,而后者需要.然后应用这种理论获得了 A-映象的一些非零不动点定理,它们包含了范数形式的拉伸与压缩不动点定理.由于某些全连续映象是 A-映象,因此我们的结果改进了关于全连续映象的某些重要定理.
|
| 关 键 词： | A-映象 楔形 不动点指数 非零不动点定理 |
FIXED POINT INDEX FOR A-MAPS AND ITS APPLICATIONS |
| |
| Lan Kunquan.FIXED POINT INDEX FOR A-MAPS AND ITS APPLICATIONS[J].Journal of Sichuan Normal University(Natural Science),1993(3). |
| |
| Authors: | Lan Kunquan |
| |
| Institution: | Dpartment of Mathematics |
| |
| Abstract: | The degree of A-maps from a normed space to another one was developed by Kryszewski in 1989,and its appli-cations could be found in Kryszewski's paper of 1990. Here we develope a fixed point index of A-maps from a
normed space to itself.Using the index theory,we obtain some new nonzero fixed point theorems,which can not be
proved by using the degree obtained in the Kryszewski's papers mentioned above. |
| |
| Keywords: | A-map wedge fixed point index nonzero fixed point theorem |
| 本文献已被 CNKI 等数据库收录！ |
