Optimality Conditions for Vector Optimization Problems

被引:16
作者
Huang, N. J. [1 ]
Li, J. [2 ]
Wu, S. Y. [3 ,4 ]
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[2] China W Normal Univ, Sch Math & Informat, Nanchong 637002, Sichuan, Peoples R China
[3] Natl Cheng Kung Univ, Inst Appl Math, Tainan 700, Taiwan
[4] Natl Ctr Theoret Sci, Tainan, Taiwan
基金
中国国家自然科学基金;
关键词
Vector optimization problem; Optimality condition; Partial calmness; Exact penalization; MP subdifferential; DUALITY;
D O I
10.1007/s10957-009-9514-7
中图分类号
C93 [管理学]; O22 [运筹学];
学科分类号
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要
In this paper, some necessary and sufficient optimality conditions for the weakly efficient solutions of vector optimization problems (VOP) with finite equality and inequality constraints are shown by using two kinds of constraints qualifications in terms of the MP subdifferential due to Ye. A partial calmness and a penalized problem for the (VOP) are introduced and then the equivalence between the weakly efficient solution of the (VOP) and the local minimum solution of its penalized problem is proved under the assumption of partial calmness.
引用
收藏
页码:323 / 342
页数:20
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