| 线性拓扑空间中向量极值问题的广义 Kuhn-Tucker 条件 |
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| 引用本文： | 李泽民.线性拓扑空间中向量极值问题的广义 Kuhn-Tucker 条件[J].系统科学与数学,1990,10(1):078-083. |
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| 作者姓名： | 李泽民 |
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| 作者单位： | 重庆建筑工程学院 |
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| 摘 要： | 文1]对 n 维欧氏空间 R~n,建立了在次似凸(Subconvexlike)映射下的择一定理,并以此证明具有弱凸性的极大极小定理.本文将择一定理推广到序线性拓扑空间,从而得出向量极值问题的广义 Kuhn-Tucker 条件和 Lagrange 乘子存在定理.
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GENERALIZED KUHN-TUCKER CONDITIONS OF THE VECTOR EXTREMUM PROBLEM IN THE LINEAR TOPOLOGICAL SPACES |
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| LI ZE-MIN.GENERALIZED KUHN-TUCKER CONDITIONS OF THE VECTOR EXTREMUM PROBLEM IN THE LINEAR TOPOLOGICAL SPACES[J].Journal of Systems Science and Mathematical Sciences,1990,10(1):078-083. |
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| Authors: | LI ZE-MIN |
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| Institution: | Chongqing Institute of Atchiterture and Engineering |
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| Abstract: | In this paper,for the subconves-like mapping an alternative theorem is established in theordered linear topological spaces.On its basis,generalized Kuhn-Tucker conditions and exist-ence theorems of Lagrange multiplier of the vector extremum problem are obtained. |
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