| 一个一般的Gale定理及其应用 |
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| 引用本文： | 沈轶,付莉红. 一个一般的Gale定理及其应用[J]. 三峡大学学报(人文社会科学版), 1997, 0(3) |
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| 作者姓名： | 沈轶 付莉红 |
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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，在所谓广义近次类凸条件下建立了一个Gale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的择一定理．
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| 关 键 词： | 广义近次类凸 Gale定理 择一定理 不等式系统 向量最优化 |
A General Gale Theorem and its Application |
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| Shen Yi, Fu Lihong. A General Gale Theorem and its Application[J]. Journal of China Three Gorges University(Humanities & Social Sciences), 1997, 0(3) |
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| Authors: | Shen Yi Fu Lihong |
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| Affiliation: | Shen Yi; Fu Lihong (Department of Mathematics ) (Department of Mechanical and Electronic Engineering ) |
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| Abstract: | In this paper inequality systems involving multifunctions in the locally convex topological vector spaces are considered. Under so - called generalized near subconvexilke conditions , we establish a Gale alternative theorem. Using this theorem, the application to vector optimization is given.Our resultS imply and generalize many known altemative theorems. |
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| Keywords: | Generalized near subconvexlike Gale theorem Alternative theorem Inequa lity system Vector optimization . |
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