| 集值优化问题弱尖锐解的最优性条件 |
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| 引用本文： | 王开荣,李键.集值优化问题弱尖锐解的最优性条件[J].四川大学学报(自然科学版),2015,52(2):223-227. |
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| 作者姓名： | 王开荣 李键 |
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| 作者单位： | 重庆大学数学与统计学院;重庆大学数学与统计学院 |
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| 基金项目： | 重庆大学研究性教学改革项目（HS201305 |
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| 摘 要： | 给出了带有一般约束集值优化问题弱尖锐解的定义并将其在向量优化中的结论推广到集值优化中.进一步地,利用Mordukhvich法锥对其在有限维空间中的最优性条件进行了研究.最后引入非线性标量化函数并借助凸集分离定理得到了弱尖锐解的等价命题.
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| 关 键 词： | 集值优化 弱尖锐解 最优性条件 标量化 |
| 收稿时间： | 2014/3/12 0:00:00 |
Optimality conditions for weak sharp minima in set valued optimization |
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| WANG Kai-Rong and LI Jian.Optimality conditions for weak sharp minima in set valued optimization[J].Journal of Sichuan University (Natural Science Edition),2015,52(2):223-227. |
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| Authors: | WANG Kai-Rong and LI Jian |
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| Institution: | College of Mathematics and Statistics, Chongqing University,;College of Mathematics and Statistics, Chongqing University, |
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| Abstract: | In this paper, we discuss the weak sharp minima about the general constraint of set valued optimization problems and also extend the conclusion from the vector optimization to the set valued optimization. Then we give the optimality conditions in finite dimensional space by the method of Mordukhpvich cone. Finally, we get the equivalent propositions with the help of convex set separation theorem by introducing the nonlinear scalar function. |
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| Keywords: | Set valued optimization Weak sharp minima Optimality conditions Scalarization |
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