| 连续选择和聚合不动点定理 |
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| 引用本文： | 夏福全,尹秦. 连续选择和聚合不动点定理[J]. 四川师范大学学报(自然科学版), 2004, 27(2): 130-134 |
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| 作者姓名： | 夏福全 尹秦 |
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| 作者单位： | 1. 四川师范大学,数学与软件科学学院,四川,成都,610066
2. 德阳教育学院,数学系,四川,德阳,618000 |
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| 摘 要： | 得到了定义域为非紧、非仿紧，值域为拓扑空间的集值映象的连续选择定理，并且集值映象的连续选择映象的定义域为整个空间而非拓扑空间的一个紧子集，应用连续选择定理，得到了聚合不动点定理，推广了最近一些文献上的相关结论。
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| 关 键 词： | 连续选择 转移紧开值 聚合不动点 拓扑空间 可缩集 |
| 文章编号： | 1001-8395(2004)02-0130-05 |
| 修稿时间： | 2003-06-04 |
Continuous Selection and Collectively Fixed Point Theorems |
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| XIA Fu-quan,YIN Qin. Continuous Selection and Collectively Fixed Point Theorems[J]. Journal of Sichuan Normal University(Natural Science), 2004, 27(2): 130-134 |
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| Authors: | XIA Fu-quan YIN Qin |
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| Affiliation: | XIA Fu-quan~1,YIN Qin~2 |
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| Abstract: | In this paper, we obtain continuous sectection theorems for the set-value mappings whose domains are non-compact or non-paracompact and the ranges are tepological spaces. Furthermore the domain of the continuous selection mapping is not the compact subset of topological space but the whole topological space. Using the continous selection theorems, some collectively fixed point theorems are obtained which are generalizations of many known results. |
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| Keywords: | Continuous selection Transfer compaltly open set Collectively fixed point Topological space Contractible set |
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