| 关于拓扑空间上的几乎不动点定理和不动点定理 |
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| 引用本文： | 朴勇杰.关于拓扑空间上的几乎不动点定理和不动点定理[J].云南大学学报(自然科学版),2010,32(5):497-502. |
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| 作者姓名： | 朴勇杰 |
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| 作者单位： | {{if article.pacs && article.pacs != '}}PACS: {{article.pacs}}{{/if}} |
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| 基金项目： | 国家自然科学基金项目资助(10361005) |
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| 摘 要： | 定义拓扑空间的R-子集的概念,利用古典的KKM原理的开形式得到一般拓扑空间上的KKM型定理并建立连续选择定理,然后给出局部一致空间上的上半连续映射的几乎不动点定理,并给出具有闭值的上半连续映射的不动点定理.这些结果推广和改进了很多相应结果.
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| 关 键 词： | 上半连续 W-R-KKM映射 局部一致空间 几乎不动点性质 R-子集 C-R-子集 几乎R-子集 |
| 收稿时间： | 2009-10-17 |
On almost fixed point theorems and fixed point theorems on topological spaces |
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| PIAO Yong-jie.On almost fixed point theorems and fixed point theorems on topological spaces[J].Journal of Yunnan University(Natural Sciences),2010,32(5):497-502. |
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| Authors: | PIAO Yong-jie |
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| Institution: | {{if article.pacs && article.pacs != '}}PACS: {{article.pacs}}{{/if}} |
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| Abstract: | The concept of R-subset of a topological space is introduced,KKM type theorem on general topological space is obtained by using the openclosed]version of classical KKM principle,and continuous selection theorems are established,then almost fixed point theorems for upperlower]semicontinuous multimap are obtained and fixed point theorems for upper semicontinuous multimap with closed values are given on locally uniform spaces.These results generalize and improve many corresponding conclusions. |
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| Keywords: | upper[lower]semicontinuous W-R-KKM map locally uniform space the almost fixed point property R-subset C-R-subset almost R-subset |
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