| 一类新的Motzkin型定理及其应用 |
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| 引用本文： | 刘金山,胡适耕,周少波.一类新的Motzkin型定理及其应用[J].华中科技大学学报(自然科学版),1999(Z1). |
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| 作者姓名： | 刘金山 胡适耕 周少波 |
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| 作者单位： | 华中理工大学数学系 |
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| 摘 要： | 考虑局部凸拓扑向量空间中包含多值映射的不等式系统,在较一般的条件下建立了一类新的Motzkin型择一定理,给出了该类定理在最优化问题中的应用,得到了一个对偶定理
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| 关 键 词： | 对偶锥 次类凸 Motzkin定理 |
A New Type of Motzkin Theorem and Its Applications |
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| Liu Jinshan,Hu Shigeng,Zhou Shaobo.A New Type of Motzkin Theorem and Its Applications[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1999(Z1). |
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| Authors: | Liu Jinshan Hu Shigeng Zhou Shaobo |
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| Institution: | Liu Jinshan Hu Shigeng Zhou Shaobo |
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| Abstract: | Inequality systems involving multifunctions is discussed in locally convex topological vector spaces. A new Motzkin type theorem of the alternative is established under some conditions. Its applications in optimization problems are given. A duality result is also obtained. |
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| Keywords: | duality cone subconvex like Motzkin theorem |
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