| G-凸空间的择一原理和极大极小不等式 |
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| 引用本文： | M.巴拉奇.G-凸空间的择一原理和极大极小不等式[J].应用数学和力学(英文版),2008,29(5):665-672. |
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| 作者姓名： | M.巴拉奇 |
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| 作者单位： | Mircea Balaj（Department of Mathematics, University of Oradea, 410087 Oradea, Romania） ; |
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| 摘 要： | Using a fixed point theorem by Kuo, Jeng and Huang, we obtain in G-convex spaces a very general intersection theorem concerning the values of three maps. From this result we derive successively alternative theorems concerning maximal elements, analytic alternatives and minimax inequalities.
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| 关 键 词： | G凸空间 KKM特性 固定点理论 最大元素 |
| 收稿时间： | 2007-03-16 |
Alternative principles and minimax inequalities in G-convex spaces |
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| Mircea Balaj.Alternative principles and minimax inequalities in G-convex spaces[J].Applied Mathematics and Mechanics(English Edition),2008,29(5):665-672. |
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| Authors: | Mircea Balaj |
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| Institution: | Department of Mathematics, University of Oradea, 410087 Oradea, Romania |
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| Abstract: | Using a fixed point theorem by Kuo, Jeng and Huang, we obtain in G-convex spaces a very general intersection theorem concerning the values of three maps. From this result we derive successively alternative theorems concerning maximal elements, analytic alternatives and minimax inequalities. |
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| Keywords: | G-convex space strict KKM property fixed point theorem maximal element alternative theorem minimax inequality |
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