Second-Order Optimality Conditions in Multiobjective Optimization Problems

被引：0

作者：

B. Aghezzaf

M. Hachimi

机构：

[1] Université Hassan II,Département de Mathématiques et d'Informatique, Faculté des Sciences Aïn Chock

[2] Université Hassan II,Département de Mathématiques et d'Informatique, Faculté des Sciences Aïn Chock

来源：

Journal of Optimization Theory and Applications | 1999年 / 102卷

关键词：

Multiobjective optimization; efficient solutions; constraint qualifications; second-order tangent sets; second-order necessary and sufficient conditions;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we develop second-order necessary and sufficient optimality conditions for multiobjective optimization problems with both equality and inequality constraints. First, we generalize the Lin fundamental theorem (Ref. 1) to second-order tangent sets; then, based on the above generalized theorem, we derive second-order necessary and sufficient conditions for efficiency.

引用

页码：37 / 50

页数：13

共 50 条

[1] Second-order optimality conditions in multiobjective optimization problems
Aghezzaf, B
Hachimi, M
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 102 (01) : 37 - 50
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[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2004, 30 (2-3) : 271 - 284
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