| 向量优化问题严格有效性的二阶最优性条件 |
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| 引用本文： | 朱胜坤,彭兴媛,刘琼荪.向量优化问题严格有效性的二阶最优性条件[J].云南大学学报(自然科学版),2011,33(3):257. |
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| 作者姓名： | 朱胜坤 彭兴媛 刘琼荪 |
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| 作者单位： | 重庆大学数学与统计学院; |
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| 基金项目： | 中央高校基本科研业务费资助项目(CDJXS11100036) |
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| 摘 要： | 利用约束集的相依锥以及线性锥,结合凸集分离定理,在适当的正则性条件下得到了一类带字典序的向量优化问题的Lagrange乘子法则,并在此基础上提出了Lagrangian函数的概念.同时,利用Lagrangian函数建立了向量优化问题严格有效性的二阶最优性条件.
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| 关 键 词： | 正则性条件 Lagrange乘子法则 严格有效性 向量优化 二阶最优性条件 |
| 收稿时间： | 2011-1-4 |
Second-order optimality conditions for strict efficiency of vector optimization problems |
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| ZHU Sheng-kun,PENG Xing-yuan,LIU Qiong-sun.Second-order optimality conditions for strict efficiency of vector optimization problems[J].Journal of Yunnan University(Natural Sciences),2011,33(3):257. |
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| Authors: | ZHU Sheng-kun PENG Xing-yuan LIU Qiong-sun |
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| Institution: | ZHU Sheng-kun,PENG Xing-yuan,LIU Qiong-sun(School of Mathematics and Statistics,Chongqing University,Chongqing 401331,China) |
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| Abstract: | By using the concepts of contingent cone and linearizing cone of a constraint set,together with a separation theorem for convex sets,the Lagrange multiplier rule for a kind vector optimization problem with lexicographic order was obtained,and on that basis,the concept of Lagrangian function was proposed.Simultaneously,in terms of the Lagrangian function,some second-order optimality conditions for strict efficiency of vector optimization problems were established. |
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| Keywords: | regularity conditions Lagrange multiplier rule strict efficiency vector optimization second-order optimality conditions |
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