| 非光滑多目标优化问题中KT乘子集的非空有界性 |
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| 引用本文： | 李晓锋,吕显瑞,孙毅,孙玲玲.非光滑多目标优化问题中KT乘子集的非空有界性[J].吉林大学学报(理学版),2009,47(4):740-741. |
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| 作者姓名： | 李晓锋 吕显瑞 孙毅 孙玲玲 |
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| 作者单位： | 吉林大学 数学学院, 长春 130012 |
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| 摘 要： | 运用次微分convexificator提出约束规格并研究具有不等式和集合约束的局部Lipschitz多目标优化问题KT乘子集的非空有界性, 得到了在局部弱有效解处所提出的约束规格是KT乘子集非空有界的充分必要条件.
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| 关 键 词： | 次微分convexificator 约束规格 KT乘子集的非空有界性 非光滑多目标优化 |
| 收稿时间： | 2009-05-20 |
Nonemptiness and Boundedness of Set of Kuhn-Tucker Multipliers in Nonsmooth Multiobjective Optimization |
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| LI Xiao-feng,L Xian-rui,SUN Yi,SUN Ling-ling.Nonemptiness and Boundedness of Set of Kuhn-Tucker Multipliers in Nonsmooth Multiobjective Optimization[J].Journal of Jilin University: Sci Ed,2009,47(4):740-741. |
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| Authors: | LI Xiao-feng L Xian-rui SUN Yi SUN Ling-ling |
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| Institution: | College of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | Using the idea of convexificators,we proposed constraint qualifications and studied the existence and boundedness of the Kuhn-Tucker multipliers for a nonsmooth multiobjective optimization problem with inequality constraints and an arbitrary set constraint.We showed that in locally weak efficient solutions where the objective and constraint functions are locally Lipschitz,the constraint qualifications are necessary and sufficient conditions for the Kuhn-Tucker multiplier sets to be nonempty and bounded. |
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| Keywords: | convexificators constraint qualifications existence and boundedness of Kuhn-Tucker multipliers nonsmooth multiobjective optimization |
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