| 集值映射多目标规划的K-T最优性条件 |
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| 引用本文： | 凌晨.集值映射多目标规划的K-T最优性条件[J].系统科学与数学,2000,20(2):196-202. |
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| 作者姓名： | 凌晨 |
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| 作者单位： | 凌晨（浙江财经学院基础部, 杭州 310012） |
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| 基金项目： | 国家自然科学基金和浙江省教委资助课题 |
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| 摘 要： | 讨论集值映射多目标规划(VP)的最优性条件问题.首先,在没有锥凹的假设下,利用集值映射的相依导数,得到了(VP)的锥--超有效解要满足的必要条件和充分条件.其次,在锥凹假设和比推广了的Slater规格更弱的条件下,给出了(VP)关于锥--超有效解的K--T型最优性必要条件和充分条件.
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| 关 键 词： | K-超有效解 相依导数 K--凹 K--T条件. |
| 修稿时间： | 1998年11月2日 |
K-T TYPE OPTIMALITY CONDITIONS OF MULTIOBJECTIVE PROGRAMMING WITH SET-VALUED MAPS |
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| Chen Ling.K-T TYPE OPTIMALITY CONDITIONS OF MULTIOBJECTIVE PROGRAMMING WITH SET-VALUED MAPS[J].Journal of Systems Science and Mathematical Sciences,2000,20(2):196-202. |
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| Authors: | Chen Ling |
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| Institution: | Department of Fundamental Science, Zhejiang Institute of Finance and Economics, Hangzhou 310012,P.R.China |
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| Abstract: | in this paper , we discuss the optimality condition problems of multiobjective programming (VP) with set-valued maps. First, without cone concave assumption, some necessary and sufficient optimality conditions for cone-super efficient solution of (VP) are given by using the contingent derivative of the set-valued maps. Secondly, under cone concave assumption and condition which is weaker than the generalized Slater constraint qualification, we give K-T type necessary and sufficient optimality conditions for cone-super efficient solution of (VP). |
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| Keywords: | K-super efficient solution contingent derivative K-concave K-T conditions |
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