| 乘积Banach空间中等式约束向量极值问题的最优性必要条件 |
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| 引用本文： | 李泽民. 乘积Banach空间中等式约束向量极值问题的最优性必要条件[J]. 运筹学学报, 2005, 9(3): 39-44 |
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| 作者姓名： | 李泽民 |
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| 作者单位： | 重庆大学数理学院,重庆,400044 |
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| 摘 要： | 本文利用Banach空间中的隐函数定理和序线性拓扑空间中对于次似凸向量值映射的择一定理,得出了乘积Banach空间中具有等式约束向量极值问题的若干最优性必要条件.
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| 关 键 词： | 运筹学 乘积空间 Banach空间 最优性必要条件 向量极值问题 等式约束 乘积 序线性拓扑空间 向量值映射 隐函数定理 择一定理 |
| 收稿时间： | 2004-10-09 |
| 修稿时间： | 2004-10-09 |
Necessary Optimality Conditions for Vector Extremum Problems with Equality Constraint in Product of Banach Spaces |
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| Li Zemin. Necessary Optimality Conditions for Vector Extremum Problems with Equality Constraint in Product of Banach Spaces[J]. OR Transactions, 2005, 9(3): 39-44 |
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| Authors: | Li Zemin |
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| Abstract: | In this paper, the necessary optimality conditions for vector extremum problemswith equality constraint in product of Banach spaces are obtained by using a implicitfunction theorem in Banach spaces and a theorem of the alternative for subconvexlikevector-valued maps in ordered linear topological spaces. |
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| Keywords: | Operations research vector extremum necessary optimality conditions implicit function theorem theorem of the alternative product spaces |
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