On sufficient second order optimality conditions in multiobjective optimization

被引：23

作者：

Bigi, G ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Informat, I-56127 Pisa, Italy

来源：

MATHEMATICAL METHODS OF OPERATIONS RESEARCH | 2006年 / 63卷 / 01期

关键词：

second order contingent sets; sufficient optimality criteria;

D O I：

10.1007/s00186-005-0013-9

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：

A second order sufficient optimality criterion is presented for a multiobjective problem subject to a constraint given just as a set. To this aim, we first refine known necessary conditions in such a way that the sufficient ones differ by the replacement of inequalities by strict inequalities. Furthermore, we show that no relationship holds between this criterion and a sufficient multipliers rule, when the constraint is described by inequalities and equalities. Finally, improvements of this criterion for the unconstrained case are presented, stressing the differences with single-objective optimization.

引用

页码：77 / 85

页数：9

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