HIGHER-ORDER EFFICIENCY CONDITIONS VIA HIGHER-ORDER TANGENT CONES

被引：12
|
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.
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页码：68 / 84
页数：17
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