| 凸优化问题最优解存在性及零对偶间隙的刻划 |
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| 引用本文： | 班立群. 凸优化问题最优解存在性及零对偶间隙的刻划[J]. 哈尔滨师范大学自然科学学报, 2005, 21(2): 5-8 |
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| 作者姓名： | 班立群 |
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| 作者单位： | 哈尔滨师范大学 |
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| 摘 要： | 在本文，我们考虑一类凸约束优化问题．我们引入一个闭性条件，在某种意义下，此闭性条件完全刻划了凸优化问题的扰动问题最优解的存在性及其零对偶间隙．
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| 关 键 词： | 零对偶间隙 S-凸映射 S-下半连续 函数类F |
| 修稿时间： | 2005-04-02 |
CHARACTERIZING OF EXISTENCE OF OPTIMAL SOLUTION AND ZERO DUALITY GAP IN CONVEX OPTIMIZATION |
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| Ban Liqun. CHARACTERIZING OF EXISTENCE OF OPTIMAL SOLUTION AND ZERO DUALITY GAP IN CONVEX OPTIMIZATION[J]. Natural Science Journal of Harbin Normal University, 2005, 21(2): 5-8 |
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| Authors: | Ban Liqun |
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| Affiliation: | Harbin Normal University |
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| Abstract: | In this paper, we consider a kind of convex constrained optimization problem. We introduce a closedness condition, in some sense, this condition completely characterizes the existence of optimal solution and zero duality gap of the perturbed problem of the convex optimization. |
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| Keywords: | Zero duality gap S -convex mapping Star S- lower semicontinuous Class F |
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