| Characterizations of Super Efficiency in Vector Optimization with Generalized Cone-subconvexlikeness |
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| 引用本文： | 武育楠.Characterizations of Super Efficiency in Vector Optimization with Generalized Cone-subconvexlikeness[J].内蒙古大学学报(自然科学版),1997(5). |
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| 作者姓名： | 武育楠 |
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| 作者单位： | 内蒙古大学数学系 |
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| 摘 要： | 首次引入了约束向量优化问题的Ｌａｇｒｎｇｅ函数的超鞍点概念，在广义锥－次类凸条件下，给出了约束向量优化问题的超有效解通过标量化，Ｌａｇｒａｎｇｅ乘子，鞍点以及对偶等途径描述的几个特征性质．
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| 关 键 词： | 广义锥－次类凸 向量优化问题 超有效解 Lagrange乘子 超鞍点 对偶性 |
Characterizations of Super Efficiency in Vector Optimization with Generalized Cone subconvexlikeness |
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| Wu Yunan.Characterizations of Super Efficiency in Vector Optimization with Generalized Cone subconvexlikeness[J].Acta Scientiarum Naturalium Universitatis Neimongol,1997(5). |
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| Authors: | Wu Yunan |
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| Abstract: | Under the assumption of the generalized cone subconvexlikeness,super saddle point is introduced, and some characterizations of super efficiency in vector optimization are established in terms of the scalarization, the Lagrange multipiers, the saddle point and the duality, respectively. |
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| Keywords: | generalized cone subconvexlikeness vector optimization super efficiency Lagrange multipiers super saddle point duality |
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