NECESSARY AND SUFFICIENT KKT OPTIMALITY CONDITIONS IN NON-CONVEX MULTI-OBJECTIVE OPTIMIZATION PROBLEMS WITH CONE CONSTRAINTS

被引：0

作者：

Sisarat, Nithirat ^{[1
]}

Wangkeeree, Rabian ^{[2
,3
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Naresuan Univ, Phitsanulok 65000, Thailand

[3] Naresuan Univ, Res Ctr Acad Excellence Math, Phitsanulok 65000, Thailand

来源：

PACIFIC JOURNAL OF OPTIMIZATION | 2019年 / 15卷 / 03期

关键词：

non-convex multi-objective optimization; cone-convex functions; level set; Karush-Kuhn-Tucker optimality conditions;

D O I：

暂无

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：

This paper deals with a class of differentiable multi-objective optimization problems (MOP) over cone constraints without the convexity of the feasible set, and the cone-convexity of objectives and constraint functions. We present constraint qualifications for these (MOP) problems and establish the relationships among them. We also present necessary and sufficient the Karush-Kuhn-Tucker (KKT) optimality conditions for a weak Pareto minimum as well as a Pareto minimum to (MOP). Our main results improve some recent ones in the literature. Illustrative examples are also provided to guarantee the advantages of each of our results.

引用

页码：477 / 490

页数：14

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