| 局部凸空间内的S-KKM定理及应用 |
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| 引用本文： | 张红琳.局部凸空间内的S-KKM定理及应用[J].四川师范大学学报(自然科学版),1999,22(4):377-381. |
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| 作者姓名： | 张红琳 |
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| 作者单位： | 四川师范大学数学系,四川,成都,610066 |
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| 摘 要： | 最近Ｌｉｎ和Ｃｈａｎｇ引入了一类ＳＫＫＭ映像，证明了若干ＳＫＫＭ定理．本文在可度量化的局部凸拓扑向量空间内研究了这类ＳＫＫＭ映像，由削弱映像的紧闭性和去掉对子集的紧凸性假设，得出了某些新的ＳＫＫＭ定理并给出了对极小极大不等式的应用．
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| 关 键 词： | S-KKM映像 仿紧闭 S-r对角拟凹 紧映像 极小极大不等式 |
| 文章编号： | 1001-8395（1999）04-0377-05 |
| 修稿时间： | :1999-01-1 |
S-KKM Theorems in Locally Convex Linear Topological Spaces with Applications |
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| ZHANG Hong-ling.S-KKM Theorems in Locally Convex Linear Topological Spaces with Applications[J].Journal of Sichuan Normal University(Natural Science),1999,22(4):377-381. |
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| Authors: | ZHANG Hong-ling |
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| Abstract: | In this paper, some new S KKM theorems are first proved in (metrizable)
locally convex linear topological spaces which weaken some conditions in previous works. As
applications, some new minimax inequalities are established. |
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| Keywords: | S KKM mapping Paracompact S r diagonally quasiconcave Compact mapping Minimax inequality |
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