| 非光滑非凸向量极值问题的真有效解 |
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| 引用本文： | 刘三阳 游兆永. 非光滑非凸向量极值问题的真有效解[J]. 应用数学, 1990, 3(4): 34-39 |
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| 作者姓名： | 刘三阳 游兆永 |
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| 作者单位： | 西安电子科技大学，西安交通大学 |
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| 摘 要： | 本文考虑非光滑非凸向量极值问题的真有效解,其主要结果如下:(1)Borwein真有效解与Benson真有效解的等价性;(2)向量极值问题的真有效解与标量极值问题的最优解的等价性;(3)广义鞍点定理;(4)真有效解的必要和充分条件。
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| 关 键 词： | 向量极值问题 真有效解 最优解 |
Proper Efficient Solutions of Nonsmooth Nonconvex Vector Extreme Value Problems |
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| Liu Sanyang. Proper Efficient Solutions of Nonsmooth Nonconvex Vector Extreme Value Problems[J]. Mathematica Applicata, 1990, 3(4): 34-39 |
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| Authors: | Liu Sanyang |
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| Affiliation: | Liu Sanyang( You Zhaoyong (Xidian University) (Xian Jiaotong University) |
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| Abstract: | In this paper, the proper efficient solution of nonsmooth nonconvex vector extreme value problems is considered, the major results are obtained as follows: (1) equivalence between Borwein's and Benson's proper effieiet solutions; (2) equivalence between proper efficient solution of vector extreme value problem and optimal solution of scalar extreme value problem; (3)generalized saddle-point theorem; (4)necessary and sufficient conditions for proper efficient solution. |
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| Keywords: | Vector extreme value problem Proper efficient solution Nonsmooth function |
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