Approximate solutions of multiobjective optimization problems

被引：45
|
作者：
Chuong, Thai Doan [1 ]
Kim, Do Sang [2 ]
机构：
[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia
[2] Pukyong Natl Univ, Dept Appl Math, Busan 608737, South Korea
来源：
POSITIVITY | 2016年 / 20卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Approximate solutions; Optimality conditions; Duality; Fuzzy form; Mordukhovich/limiting subdifferential; Multiobjective optimization; EPSILON-PARETO OPTIMALITY; VECTOR OPTIMIZATION; DUALITY;
D O I：
10.1007/s11117-015-0350-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper provides some new results on approximate Pareto solutions of a multiobjective optimization problem involving nonsmooth functions. We establish Fritz-John type necessary conditions and sufficient conditions for approximate Pareto solutions of such a problem. As a consequence, we obtain Fritz-John type necessary conditions for (weakly) Pareto solutions of the considered problem by exploiting the corresponding results of the approximate Pareto solutions. In addition, we state a dual problem formulated in an approximate form to the reference problem and explore duality relations between them.
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页码：187 / 207
页数：21
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