| 一个一般的Motzkin定理及其应用 |
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| 引用本文： | 胡适耕.一个一般的Motzkin定理及其应用[J].系统科学与数学,1998,18(1):040-046. |
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| 作者姓名： | 胡适耕 |
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| 作者单位： | 华中理工大学数学系!武汉，430074，华中理工大学数学系!武汉，430074，华中理工大学数学系!武汉430074 |
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| 摘 要： | 本文考虑局部凸拓扑向量空间中包含多值映射的不等式系统，在很一般的条件下建立了一个Motzkin型择一定理，并给出了该定理在向量最优化问题中的应用，本文结果涵盖并推广了许多已知择一定理
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| 关 键 词： | 不等式系统 Motzkin定理 择一定理 向量最优化 |
A GENERAL MOTZKIN THEOREM AND ITS APPLICATIONS |
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| Hu Shigeng,Shen Yi,Huang Zhenghai.A GENERAL MOTZKIN THEOREM AND ITS APPLICATIONS[J].Journal of Systems Science and Mathematical Sciences,1998,18(1):040-046. |
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| Authors: | Hu Shigeng Shen Yi Huang Zhenghai |
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| Institution: | (Department of Mathematics, Huazhong University of Science and Technology,Wuhan 430074) |
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| Abstract: | This paper considers inequality systems involving multifunctions in locallyconvex topological vector spaces. A Motzkin type theorem of the alternative is establishedunder general conditions. And its applications in vector optimization problems are given. Theresults imply and generalize many known theorems of the alternative. |
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| Keywords: | Inequality systems Motzkin theorem alternative theorem vector optimization |
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