Second-order conditions for efficiency in nonsmooth multiobjective optimization problems

被引：17
|
作者：
Maeda, T [1 ]
机构：
[1] Kanazawa Univ, Fac Econ, Kanazawa, Ishikawa 920, Japan
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2004年 / 122卷 / 03期
关键词：
multiobjective minimization problems; efficient solutions; C1+ functions; second-order directional derivatives; second-order tangent sets; second-order constraint qualifications;
D O I：
10.1023/B:JOTA.0000042594.46637.b4
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, we are concerned with a nonsmooth multi-objective optimization problem with inequality constraints. We introduce a second-order constraint qualification, which is a generalization of the Abadie constraint qualification and derive second-order Kuhn-Tucker type necessary conditions for efficiency under the constraint qualification. Moreover, we give conditions which ensure that the constraint qualification holds.
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页码：521 / 538
页数：18
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