| 无穷维Banach空间上的逼近定理和弱内向映象的不动点定理 |
| |
| 引用本文： | 刘立山.无穷维Banach空间上的逼近定理和弱内向映象的不动点定理[J].数学研究及应用,1994,14(3):417-420. |
| |
| 作者姓名： | 刘立山 |
| |
| 作者单位： | 山阜师范大学数学系 |
| |
| 摘 要： | 本文在适当的边界条件下证明了ｋｙＦａｎ［１，Ｔｈ，２］逼近定理对严格集压缩映象和凝聚映象在无穷维Ｂａｎａｃｈ空间中的圆环上也成立，作为应用，得到了弱内向映象的非零不动点定理。
|
| 关 键 词： | 逼近定理 不动点定理 无穷维Banach空间。 |
| 收稿时间： | 1991/11/4 0:00:00 |
Approximation Theorems and FiXed Point of WeaklyInward Mappings in Infinite Dimensional Banach Space |
| |
| Liu Lishan.Approximation Theorems and FiXed Point of WeaklyInward Mappings in Infinite Dimensional Banach Space[J].Journal of Mathematical Research with Applications,1994,14(3):417-420. |
| |
| Authors: | Liu Lishan |
| |
| Institution: | Dept.of Maht; Qufu Normal University; Shandong |
| |
| Abstract: | In this paper,we investigate the validity of an interesting theorem of Ky Fan 1,Theorem 2] defined on an annulue in infinite-dimensional Banaich space. We prove thatit is true for a condensing mapping under suitable conditions. As applications,some newfixed point are derived,and we also generalize some results of Sun7,8]. |
| |
| Keywords: | |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
