| 关于一类向量极值问题弱有效解的充分必要条件 |
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| 引用本文： | 王其林,李泽民. 关于一类向量极值问题弱有效解的充分必要条件[J]. 应用数学与计算数学学报, 2005, 19(1): 70-74 |
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| 作者姓名： | 王其林 李泽民 |
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| 作者单位： | 1. 重庆交通学院基础部,重庆,400074
2. 重庆大学数理学院,重庆,400044 |
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| 基金项目： | 重庆交通学院科研基金资助课题(2004-02-20)． |
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| 摘 要： | 本文研究带集合约束的向量极值问题。运用局部凸Hausdorff拓扑向量空间中广义次似凸映射的择一定理和其他一些结论，得到了关于集合约束向量极值问题弱有效解的几个充分必要条件．
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| 关 键 词： | 向量极值问题 弱有效解 局部凸Hausdorff拓扑向量空间 择一定理 最优化 |
| 修稿时间： | 2004-07-09 |
The Sufficient and Necessary Conditions of Weak Efficient Solution for A Class of Vector Extremum Problems |
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| Wang Qiling,Li Zemin. The Sufficient and Necessary Conditions of Weak Efficient Solution for A Class of Vector Extremum Problems[J]. Communication on Applied Mathematics and Computation, 2005, 19(1): 70-74 |
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| Authors: | Wang Qiling Li Zemin |
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| Abstract: | The paper deals with the vector extremum problems with set constraint. Applying the alternative theorem of generalized subconvexlike maps in locally-convex Hausdorff topological vector spaces and some other results, several sufficient and necessary conditions for the vector extremum problems with set constraint are obtained. |
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| Keywords: | Generalized subconvexlikeness locally-convex Hausdorff topological vector spaces theorems of the alternative weak efficient solution the sufficient and necessary conditions |
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