| Benson真有效意义下向量集值优化的广义Fritz-John条件 |
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| 引用本文： | 盛宝怀,刘三阳,熊胜君.Benson真有效意义下向量集值优化的广义Fritz-John条件[J].经济数学,2000,17(1):59-65. |
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| 作者姓名： | 盛宝怀 刘三阳 熊胜君 |
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| 作者单位： | 西安电子科技大学应用数学系,西安,710071 |
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| 基金项目： | 陕西省自然科学基金资助项目(99SL02) |
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| 摘 要： | 借助Clarke切锥并用上图引入了关于集值映射的Clarke切导数.借助于一种新的择一性定理建立了向量集值优化问题在弱Benson真有效意义下的广义Fritz-John最优性条件,而且证明在一种伪凸的假设下,这种最优性条件还为充分的.
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| 关 键 词： | Clarke切锥 G.Bouligand切锥 集值映射 Benson真有效 Fritz-John条件 |
| 修稿时间： | 1998年10月1日 |
THE GENERALIZED OPTIMALITY FRITZ JOHN CONDITIONS OF VECTOR OPTIMIZATION OF SET-VALUED MAPS WITH WEAK BENSON PROPER EFFICIENCY |
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| Sheng Baohuai,Liu Sanyang,Xiong Shengjun.THE GENERALIZED OPTIMALITY FRITZ JOHN CONDITIONS OF VECTOR OPTIMIZATION OF SET-VALUED MAPS WITH WEAK BENSON PROPER EFFICIENCY[J].Mathematics in Economics,2000,17(1):59-65. |
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| Authors: | Sheng Baohuai Liu Sanyang Xiong Shengjun |
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| Abstract: | The Clarke tangent derivatives for a set-valued map is developed with the aid of Clarke tangent cone and the epigraphy of the set valued map and , moreover, a kind of alternative theorems is established, with which a generalized Fritz John optimality condition of vector constrained optimization of set valued maps with the weak Benson proper efficiency is obtained. Finally, under the assumptions of pseudoconvexity, the optimality condition is proved to be a sufficient condition. |
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| Keywords: | Clarke tangent cone G Bouligand tangent cone set valued map Benson proper efficiency Fritz John conditions |
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