| G-凸空间中KKM定理的变形及其应用 |
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| 引用本文： | 何蓉华,丁协平.G-凸空间中KKM定理的变形及其应用[J].四川师范大学学报(自然科学版),2005,28(2). |
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| 作者姓名： | 何蓉华 丁协平 |
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| 作者单位： | 成都信息工程学院,计算科学系,四川,成都,610103;四川师范大学,数学与软件科学学院,四川,成都,610066;四川师范大学,数学与软件科学学院,四川,成都,610066 |
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| 摘 要： | 首先在G 凸空间内引入了共存和可被诱捕的定义,然后将H 空间中KKM定理的变形及其应用推广到G 凸空间,建立了新的极大极小不等式.
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| 关 键 词： | G-凸空间 共存 可被诱捕 G-拟凸 G-拟凹 |
The Variant Forms of KKM Type Theorems and Their Applications in the G- convex Space |
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| HE Rong-hua,DING Xie-ping.The Variant Forms of KKM Type Theorems and Their Applications in the G- convex Space[J].Journal of Sichuan Normal University(Natural Science),2005,28(2). |
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| Authors: | HE Rong-hua DING Xie-ping |
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| Institution: | HE Rong-hua~ |
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| Abstract: | In this paper, some notions of coexistent and trappable are introduced. By using them, KKM type theorems and their variant forms in H-spaces are generalized to G-convex spaces. A new minimax inequality is established. |
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| Keywords: | G-convex space Coexistent Trappable G-quasiconvex G-quasiconcave |
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