Duality in nonconvex vector optimization

被引：4

作者：

Kasimbeyli, Refail ^{[1
]}

Karimi, Masoud ^{[2
]}

机构：

[1] Eskisehir Tech Univ, Dept Ind Engn, Iki Eylul Campus, TR-26555 Eskisehir, Turkey

[2] Mehrgan Niro Pouya Co, Dept Optimizat, Kermanshah, Iran

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2021年 / 80卷 / 01期

关键词：

Vector optimization; Separation theorem; Duality; Augmented Lagrangian; Saddle point criterion;

D O I：

10.1007/s10898-021-01018-x

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, duality relations in nonconvex vector optimization are studied. An augmented Lagrangian function associated with the primal problem is introduced and efficient solutions to the given vector optimization problem, are characterized in terms of saddle points of this Lagrangian. The dual problem to the given primal one, is constructed with the help of the augmented Lagrangian introduced and weak and strong duality theorems are proved. Illustrative examples for duality relations are provided.

引用

页码：139 / 160

页数：22

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