| 局部FC-空间内Himmelberg型不动点定理的推广 |
| |
| 引用本文： | 丁协平.局部FC-空间内Himmelberg型不动点定理的推广[J].四川师范大学学报(自然科学版),2006,29(1):1-6. |
| |
| 作者姓名： | 丁协平 |
| |
| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
| |
| 摘 要： | 引入了有限连续拓扑空间（简称FC-空间）和局部有限连续拓扑空间（简称局部FC-空间）．在FC-空间内引入和研究了一类新的具有KKM性质的集值映象类KKM（X，Y）．在非紧局部FC-空间内对具有KKM性质的集值映象建立了几个新的Himmelberg型不动点定理．这些定理改进，统一和推广了文献中很多已知结果．
|
| 关 键 词： | 局部FC-空间 容许映象 可逼近映象 KKM性质 Himmelberg型不动点定理 |
| 文章编号： | 1001-8395（2006）01-0001-06 |
| 收稿时间： | 2005-05-18 |
| 修稿时间： | 2005年5月18日 |
Generalizations of Himmelberg Type Fixed Point Theorems in Locally FC-Spaces |
| |
| DING Xie-ping.Generalizations of Himmelberg Type Fixed Point Theorems in Locally FC-Spaces[J].Journal of Sichuan Normal University(Natural Science),2006,29(1):1-6. |
| |
| Authors: | DING Xie-ping |
| |
| Institution: | College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan |
| |
| Abstract: | In this paper,the classes of finitely continuous topological spaces(in short,FC-spaces) and locally finitely continuous topological spaces(in short,locally FC-spaces) are introduced.A new class KKM(X,Y) of set-valued mappings with KKM property is introduced and studied in FC-spaces.Several new Himmelberg type fixed point theorems for mappings with KKM property are established in noncompact locally FC-spaces.These theorems improve,unify and generalize many known results in the literatures. |
| |
| Keywords: | Locally FC-space Admissible mapping Approachable mapping KKM property Himmelberg type fixed point theorem |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
