| 序线性空间中广义半似凸集值映射向量优化的Benson真有效性 |
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| 引用本文： | 周志昂.序线性空间中广义半似凸集值映射向量优化的Benson真有效性[J].运筹学学报,2007,11(3):95-104. |
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| 作者姓名： | 周志昂 |
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| 作者单位： | 重庆工学院数理学院,重庆,400050 |
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| 摘 要： | 在序线性空间中建立了广义半似凸集值映射的择一定理.利用向量闭包,引进了集值优化的Benson真有效解.在广义半似凸的假设下,获得了Benson真有效性意义下的标量化定理,Lagrangian乘子定理和鞍点定理.
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| 关 键 词： | 运筹学 集值映射 广义半似凸 择一定理 Benson真有效解 |
| 修稿时间： | 2006-06-29 |
Benson Proper Efficiency of Vector Optimization with Generalized Semiconvexlike Set-Valued Maps in Ordered Linear Spaces |
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| Zhou Zhiang.Benson Proper Efficiency of Vector Optimization with Generalized Semiconvexlike Set-Valued Maps in Ordered Linear Spaces[J].OR Transactions,2007,11(3):95-104. |
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| Authors: | Zhou Zhiang |
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| Institution: | College of Mathematics and Physics,Chongqing Institute of Technology, Chongqing 400050, China. |
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| Abstract: | An alternative theorem of generalized semiconvexlike set-valued maps is established in ordered spaces.Using vector closure,Benson proper efficient solution of set-valued optimization is introduced.Under the assumption of generalized semiconvex- likeness,scalarization,Lagrangian multiplier and saddle point theorems are obtained in the sense of Benson proper efficiency. |
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| Keywords: | Operations research set-valued maps generalized semiconvexlikeness alternative theorem Benson proper efficient solution |
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