Higher-order optimality conditions for strict and weak efficient solutions in set-valued optimization

被引：14
作者：
Nguyen Le Hoang Anh [1 ]
机构：
[1] Vietnam Natl Univ Ho Chi Minh City, Univ Sci, Dept Optimizat & Syst Theory, 227 Nguyen Van Cu,Dist 5, Ho Chi Minh City, Vietnam
来源：
POSITIVITY | 2016年 / 20卷 / 02期
关键词：
Higher-order Studniarski epiderivative; Set-valued optimization problem; Optimality condition; Strict efficient solution; Weak efficient solution; C-preinvexity; CONTINGENT EPIDERIVATIVES;
D O I：
10.1007/s11117-015-0369-x
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a notion of higher-order Studniarski epiderivative of a set-valued map and study its properties. Then, we discuss their applications to optimality conditions in set-valued optimization. Higher-order optimality conditions for strict and weak efficient solutions of a constrained set-valued optimization problem are established. Some remarks on the existing results in the literature are given from our results.
引用
收藏
页码：499 / 514
页数：16
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