| FC-空间中的非空交定理及其应用 |
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| 引用本文： | 王晶海,黄建华.FC-空间中的非空交定理及其应用[J].福州大学学报(自然科学版),2009,37(5). |
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| 作者姓名： | 王晶海 黄建华 |
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| 作者单位： | 福州大学数学与计算机科学学院; |
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| 基金项目： | 福建省教育厅科研资助项目(JB05046) |
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| 摘 要： | 在没有任何凸性结构的有限连续拓扑空间(简称FC-空间)中研究讨论KKM映象性质,得到若干非空交定理和择一性定理.应用该研究结果得到了极大极小不等式定理.
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| 关 键 词： | FC-空间 非空交定理 KKM映象 极大极小不等式 |
Intersection theorem in FC-spaces and their applications |
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| WANG Jing-hai,HUANG Jian-hua.Intersection theorem in FC-spaces and their applications[J].Journal of Fuzhou University(Natural Science Edition),2009,37(5). |
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| Authors: | WANG Jing-hai HUANG Jian-hua |
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| Institution: | WANG Jing-hai,HUANG Jian-hua(College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China) |
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| Abstract: | In this paper,we present the properties of KKM mapping in finitely continuous topological space(FC-space for short) without any convexity assumptions and some intersection theorems and alternative are given.As their applications,we got the minimax inequalities theorem. |
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| Keywords: | FC-space intersection theorem KKM mapping minimax inequalities |
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