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.

引用

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页码：521 / 538

页数：18

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