约束集值优化问题的高阶Wolfe型对偶 |
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引用本文: | 王其林,龙凯.约束集值优化问题的高阶Wolfe型对偶[J].吉林林学院学报,2011(5):530-534. |
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作者姓名: | 王其林 龙凯 |
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作者单位: | 重庆交通大学理学院,重庆400074 |
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基金项目: | 国家自然科学基金项目(10871216 11071267); 重庆市教委科学技术研究项目(KJ100419); 重庆市自然科学基金计划项目; 重庆交通大学高教所教改研究课题(1003011) |
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摘 要: | 利用集值映射的广义高阶邻接上图导数,构建了约束集值优化问题的一类高阶Wolfe型对偶,并建立了相应的弱对偶、强对偶和逆对偶定理.
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关 键 词: | 集值优化问题 广义高阶邻接上图导数 高阶Wolfe型对偶 |
Higher-Order Wolfe Type Dual of Constrained Set-valued Optimization Problems |
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Authors: | WANG Qi-lin LONG Kai |
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Institution: | (College of Sciences,Chongqing Jiaotong University,Chongqing 400074,China) |
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Abstract: | A high-order Wolfe dual problem is discussed for a constrained set-valued optimization problem by employing the generalized higher-order adjacent epiderivative for a set-valued map.The corresponding weak duality,strong duality and converse duality theorems are established. |
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Keywords: | set-valued optimization problems generalized higher-order adjacent epiderivatives high-order Wolfe type dual |
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