On approximate solutions of nondifferentiable vector optimization problems with cone-convex objectives

被引：8
|
作者：
Hong, Zhe [1 ]
Piao, Guang-Ri [2 ]
Kim, Do Sang [1 ]
机构：
[1] Pukyong Natl Univ, Dept Appl Math, Busan 48513, South Korea
[2] Yanbian Univ, Dept Math, Yanji 133002, Peoples R China
来源：
OPTIMIZATION LETTERS | 2019年 / 13卷 / 04期
基金：
新加坡国家研究基金会;
关键词：
Weakly C-epsilon-efficient solution; C-convexity; KKT optimality conditions; Wolfe duality; OPTIMALITY CONDITIONS; DUALITY;
D O I：
10.1007/s11590-018-1292-4
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：
In this paper, we study a nondifferentiable constrained vector optimization problem where the partial order in the image space is induced by a closed, convex and pointed cone with nonempty interior. Under the C-convexity assumption, we present necessary and sufficient KKT optimality conditions for weakly C-E-efficient solutions. In addition, we formulate a Wolfe-type dual problem, and then weak and strong duality theorems are presented.
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页码：891 / 906
页数：16
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