| 集值优化的严有效性和标量集值Lagrange映射 |
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| 引用本文： | 余国林,刘三阳.集值优化的严有效性和标量集值Lagrange映射[J].吉林大学学报(理学版),2006,44(6):888-892. |
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| 作者姓名： | 余国林 刘三阳 |
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| 作者单位： | 1. 西北第二民族学院 信息与计算科学系, 银川 750021; 2. 西安电子科技大学 应用数学系, 西安 710071 |
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| 摘 要： | 研究集值向量优化问题在标量集值Lagrange映射下鞍点的性质. 在近似锥 次类凸假设下, 证明了集值优化问题严有效解为鞍点的充分和必要条件. 利用标量集值Lagrange映射建立了集值优化问题的对偶模型, 并得到严有效性下的弱对偶和强对偶定理.
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| 关 键 词： | 集值优化 Lagrange映射 鞍点 严有效性 对偶 |
| 文章编号： | 1671-5489(2006)06-0888-05 |
| 收稿时间： | 2005-12-07 |
| 修稿时间： | 2005年12月7日 |
Strict Efficiency of Set-valued Optimization and Scalar Set-valued Lagrange Mapping |
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| YU Guo-lin,LIU San-yang.Strict Efficiency of Set-valued Optimization and Scalar Set-valued Lagrange Mapping[J].Journal of Jilin University: Sci Ed,2006,44(6):888-892. |
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| Authors: | YU Guo-lin LIU San-yang |
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| Institution: | 1. Department of Information and Computation Science, the Second Northwest Institute Ethnic Minority, Yinchuan 750021, China; 2. Department of Applied Mathematics, Xidian University, Xi’an 710071, China |
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| Abstract: | The properties of saddle-point for scalar set-valued Lagrange mapping in vector optimization(problems) with set-valued maps were studied.Under the assumption of nearly cone-subconveslikeness,the(sufficient) and necessary conditions for a strict efficient solution being a saddle-point in set-valued optimization(problems) are proposed.The strong and weak dual theorems are obtained in the sense of strictly efficiency in dual model which is established by scalar set-valued Lagrange mapping. |
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| Keywords: | set-valued optimization Lagrange mapping saddle-point strictly efficiency dual |
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