HIGHER-ORDER EFFICIENCY CONDITIONS VIA HIGHER-ORDER TANGENT CONES

被引：13

作者：

Do Van Luu ^{[1
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2014年 / 35卷 / 01期

关键词：

Higher-order necessary and sufficient efficiency conditions; Higher-order tangent cones; Local Pareto minimum; Strict local Pareto minimum of order n; OPTIMALITY CONDITIONS; SUFFICIENT CONDITIONS; 2ND-ORDER; SETS;

D O I：

10.1080/01630563.2013.809583

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article presents higher-order necessary and sufficient efficiency conditions for multiobjective optimization problems involving cone-constraints and a set constraint with Gateaux differentiable functions via higher-order tangential cones.

引用

页码：68 / 84

页数：17

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