| 关于向量集值优化的Benson真有效性 |
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| 引用本文： | 盛宝怀,刘三阳.关于向量集值优化的Benson真有效性[J].应用数学,2000,13(4):95-99. |
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| 作者姓名： | 盛宝怀 刘三阳 |
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| 作者单位： | 西安电子科技大学应用数学系，陕西 西安 710071 |
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| 基金项目： | 陕西省自然科学基金(99SL02)资助． |
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| 摘 要： | 对广义锥次数凸向量集值优化问题Benson真有效性解的标量化问题进行了研究，借助于一种新的择一性定理建立了广义锥次类凸向是集值优化问题Benson真有效解的Lagrange乘子型定理并讨论了乘子型对偶问题。
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| 关 键 词： | 集值映射 广义锥次类凸 半局部凸 向量集值优化 BENSON真有效性 |
| 文章编号： | 1001-9847(2000)04-0095-05 |
| 修稿时间： | 1999年3月17日 |
On the Benson Proper Efficiency in Vector Optimization with Set-valued Maps |
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| SHENG Bao-huai,LIU San-yang.On the Benson Proper Efficiency in Vector Optimization with Set-valued Maps[J].Mathematica Applicata,2000,13(4):95-99. |
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| Authors: | SHENG Bao-huai LIU San-yang |
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| Abstract: | The scalarization of Benson proper efficiency for generalized cone subconvexlike vector set valued optimization problem is considered. The Lagrangian multipliers theorem and the strong duality theorem of Benson proper efficiency for generalized cone subconvexlike vector set valued optimization problem, with the help of a kind of new alternative theorem, are obtained. |
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| Keywords: | Set valued maps Generalized cone subconvexlike Semilocally convex Vector optimization Benson proper efficiency Duality |
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