| 集值映射向量优化问题的ε-超鞍点和ε-对偶定理 |
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| 引用本文： | 凌晨.集值映射向量优化问题的ε-超鞍点和ε-对偶定理[J].运筹学学报,2002,6(1):53-60. |
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| 作者姓名： | 凌晨 |
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| 作者单位： | 浙江财经学院信息学院,杭州,310012 |
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| 摘 要： | 本文研究集值映射向量优化问题的ε-超鞍点和ε-对偶定理。在集值映射是近似广义锥次似凸的假设下，利用ε-超有效解的标量化和Lagrange乘子定理，建立和证明了关于ε-超有效解的鞍点和对偶定理。
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| 关 键 词： | 向量优化问题 ε－超有效解 ε－对偶定理 集值映射 近似广义锥似凸 ε－超鞍点 |
ε-Super Saddle Points and ε-Duality Theorems of Vector Optimization Problems with Set-Valued Maps |
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| Abstract.ε-Super Saddle Points and ε-Duality Theorems of Vector Optimization Problems with Set-Valued Maps[J].OR Transactions,2002,6(1):53-60. |
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| Authors: | Abstract |
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| Abstract: | This paper establishes and proves the saddle points and duality theorems for ε-superefficient solution of vector optimization with set-valued maps, under the assumption that the set-valued maps is nearly generalized cone-subconvexlike, by utilizing the scalarization and Lagrange multiplier theorem for ε-super efficient solution. |
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| Keywords: | Set-valued maps nearly generalized conesubconvexlikeness e-super saddle point |
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