| 集值优化问题超有效解的Kuhn-Tucker最优性条件 |
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| 引用本文： | 徐义红,李太勇.集值优化问题超有效解的Kuhn-Tucker最优性条件[J].运筹学学报,2006,10(3):85-90. |
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| 作者姓名： | 徐义红 李太勇 |
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| 作者单位： | 南昌大学数学系,南昌,330047 |
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| 基金项目： | 国家自然科学基金(10461007)，和教育部全国优秀博士论文作者专项基金(200217)项目． |
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| 摘 要： | 在Hausdorff局部凸拓扑线性空间中考虑约束向量集值优化问题(VP)的超有效性．在近似锥-次类凸假设下,利用择一性定理得到了Kuhn-Tucker型最优性必要条件,利用标量化定理得到了Kuhn-Tucker型最优性充分条件．最后给出了一种与(VP)等价的无约束优化．
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| 关 键 词： | 运筹学 超有效性 近似锥-次类凸 集值优化 锥 |
| 收稿时间： | 2004-03-25 |
| 修稿时间： | 2004年3月25日 |
Kuhn-Tucker Optimality Conditions for Set-Valued Optimization Problem in the Sense of Superly Efficient Solutions |
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| Xu Yihong,Li Taiyong.Kuhn-Tucker Optimality Conditions for Set-Valued Optimization Problem in the Sense of Superly Efficient Solutions[J].OR Transactions,2006,10(3):85-90. |
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| Authors: | Xu Yihong Li Taiyong |
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| Institution: | Department of Mathematics, Nanchang University, Nanchang 330047,Chian |
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| Abstract: | The set-valued optimization problem with constraints(VP)is considered in the sense of super efficiency in Hausdorff locally convex linear topological spaces.Under the assump- tion of nearly cone-subconvexlikeness,by applying alternative theorem,a Kuhn-Tucker optimality necessary condition for(VP)is derived,by using scalarization theorem,a suf- ficient condition is also obtained.Finally,a kind of unconstrained program equivalent to (VP)are established. |
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| Keywords: | Operations research super efficiency nearly cone-subconvexlikeness set-valued optimization cone |
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