| 具有某种特性的向量优化问题的解的刻画 |
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| 引用本文： | 李柳芬. 具有某种特性的向量优化问题的解的刻画[J]. 四川轻化工学院学报, 2010, 0(1): 23-24,30 |
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| 作者姓名： | 李柳芬 |
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| 作者单位： | 四川理工学院理学院,四川自贡543000 |
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| 摘 要： | 在有限维空间中，当目标函数凸下半连续时，向量优化问题一定有弱有效解，并且解集是紧的，但当目标函数非凸时，这不一定成立，文章讨论了把目标函数的凸性减弱之后，向量优化问题的解集是非空并且紧的，另外还得到一些等价的刻画。
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| 关 键 词： | 凸向量优化 弱有效解 紧性 0-强制性 |
Characterization of Solution Sets of Quasiconvex Vector Optimization Problems in Real Reflexive Banach Spaces |
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| LI Liu-fen. Characterization of Solution Sets of Quasiconvex Vector Optimization Problems in Real Reflexive Banach Spaces[J]. Journal of Sichuan Institute of Light Industry and Chemical Technology, 2010, 0(1): 23-24,30 |
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| Authors: | LI Liu-fen |
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| Affiliation: | LI Liu-fen (School of Science, Sichuan University of Science ＆ Engineering, Zigong 643000, China) |
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| Abstract: | This paper, which uses the 0-coercivity of some nonconvex functions to characterize the nonemptiness and compactness of solution sets of the vector optimization problems, discusses the characterization of the nonemptiness and compactness of weakly efficient solution sets of nonconvex vector optimization problems in finite-dimensional spaces. |
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| Keywords: | Nonconvex vector optimization weakly efficient solution 0-coercivity compactness |
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