| 局部凸空间中的不动点定理及其应用 |
| |
| 引用本文： | 史红波,朱江.局部凸空间中的不动点定理及其应用[J].纯粹数学与应用数学,2010,26(3):467-472. |
| |
| 作者姓名： | 史红波 朱江 |
| |
| 作者单位： | 淮阴师范学院数学科学学院,江苏,淮安,223300;徐州师范大学数学科学学院,江苏,徐州,221116 |
| |
| 摘 要： | 讨论了局部凸空间中推广的Leray-Schauder度的基本性质,建立了一些新的不动点定理,并给出了对局部凸空间Cauchy初值问题的应用.这些定理是Banach空间中相应结果的推广.
|
| 关 键 词： | 局部凸空间 Leray-Schauder度 不动点定理 Cauchy初值问题 |
Fixed point theorems in locally convex spaces and its applications |
| |
| SHI Hong-bo,ZHU Jiang.Fixed point theorems in locally convex spaces and its applications[J].Pure and Applied Mathematics,2010,26(3):467-472. |
| |
| Authors: | SHI Hong-bo ZHU Jiang |
| |
| Institution: | SHI Hong-bo 1,ZHU Jiang 2(1.School of Mathematical Science,Huaiyin Normal University,Huaian 223300,China,2.School of Mathematical Science,Xuzhou Normal University,Xuzhou 221116,China) |
| |
| Abstract: | In this paper,the properties of Leray-Schauder degree generalized in locally convex spaces are discussed.Then some new fixed point theorems are proved.Finally,one of these theorems is applied to study the existence of solutions to Cauchy initial value problem.The results obtained are the generalization of the corresponding ones in Banach spaces. |
| |
| Keywords: | locally convex spaces Leray-Schauder degree fixed point theorem Cauchy initial value problem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
