| 非凸向量优化问题解集的非空性和紧性刻画 |
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| 引用本文： | 李柳芬. 非凸向量优化问题解集的非空性和紧性刻画[J]. 四川理工学院学报(自然科学版), 2009, 22(6): 25-27 |
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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,643000 |
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| 摘 要： | 文章把之前由F.F.在R中得到的半严格拟凸向量优化问题解集的非空性和紧性刻画推广到了更高维R~n(n≥1)中,并对其中的某些结果进行了改进。
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| 关 键 词： | 向量优化问题 弱有效解 半严格拟凸 回收锥 |
Characterization of the Nonemptiness and Compactness of Solution Sets in Nonconvex Vector Optimization Problems |
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| LI Liu-fen. Characterization of the Nonemptiness and Compactness of Solution Sets in Nonconvex Vector Optimization Problems[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2009, 22(6): 25-27 |
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| Authors: | LI Liu-fen |
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| Abstract: | This paper extends the characterizations of the nonemptiness and compactness of solution sets in nonconvex vector optimization in one-dimensional real spaces,which obtained previously by the author Flores-Bazan F,to those in R~n(n>1) setting.And some results presented in paper are improved. |
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| Keywords: | vector optimization problems weakly efficient solution semistrictly quasiconvex functions asymptotic cones |
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