| 拓扑空间内某些极小极大不等式、变分不等式 |
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| 引用本文： | 卢宏涛,丁协平.拓扑空间内某些极小极大不等式、变分不等式[J].四川师范大学学报(自然科学版),1991(2). |
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| 作者姓名： | 卢宏涛 丁协平 |
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| 作者单位： | 四川师范大学数学系，四川师范大学数学系 |
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| 摘 要： | 本文在 Komiya 引入的没有线性结构的抽象凸空间中,得到具有凸截口的集合族交非空定理,及一些极小极大不等式、极小极大等式和变分不等式.其结果是 Fan,Lassonde,Park 等作者结果的推广.
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| 关 键 词： | 抽象凸空间 广义KKM定理 半单调函数 具有凸截口的集合 |
SOME MINIMAX INEQUALITIES, VARIATIONAL INEQUALITIES IN TOPOLOGICAL SPACES |
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| Lu Hongtao,Ding Xieping.SOME MINIMAX INEQUALITIES, VARIATIONAL INEQUALITIES IN TOPOLOGICAL SPACES[J].Journal of Sichuan Normal University(Natural Science),1991(2). |
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| Authors: | Lu Hongtao Ding Xieping |
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| Institution: | Lu Hongtao;Ding Xieping Department of Mathematics |
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| Abstract: | In this paper,authors prove a nonempty intersection theorem for sets with convex sections in the abstract convex spaces in- troduced by Komiya,which generalizes the corresponding results of Fan and Lassonde.Furthermore,some minimax inequali- ties,minimax equalities and variational inequalities are obtained in the abstract convex spaces.These results improve and gener- alize some recent results of Fan,Lassonde,Park and others. |
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| Keywords: | abstract convex space generalized KKM theorem semi-monotone function set with convex sections |
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