| 集值向量优化问题的弱有效解的一些刻画 |
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| 引用本文： | 柴艳飞. 集值向量优化问题的弱有效解的一些刻画[J]. 四川轻化工学院学报, 2008, 0(4): 38-39 |
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| 作者姓名： | 柴艳飞 |
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| 作者单位： | [1]西华师范大学数学与信息学院,四川南充637002 |
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| 摘 要： | 主要证明了集值向量优化问题在锥次似凸条件下弱有效解存在的一个充要条件，并利用集值映象（下半）Dini-可导，给出了弱有效解的一个刻画。
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| 关 键 词： | 集值映射 弱有效解 锥次似凸映射 选择性定理 Dini-可导 |
Some Characterizarions of Weak Minimal Solutions of Vector Optimization Problems with Set-valued Maps |
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| Affiliation: | CHAI Yon-fei (School of Mathematics and Information, China West Normal University, Nanchong 637002, China) |
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| Abstract: | A sufficient and necessary condition of weak minimal solutions for vector optimization problems with setvalued maps is presented in the paper, and a characterization of weak minimal solutions is devived by using Dinidifferentiability of set-valued maps. |
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| Keywords: | set-valued map vector optimization problem weak minimal solution cone-subconvexlike mapping existence,Dini-differentiable |
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