OPTIMALITY CONDITIONS FOR APPROXIMATE SOLUTIONS OF VECTOR OPTIMIZATION PROBLEMS WITH VARIABLE ORDERING STRUCTURES

被引：0

作者：

Soleimani, B. ^{[1
]}

Tammer, C. ^{[1
]}

机构：

[1] Martin Luther Univ Halle Wittenberg, Inst Math, Theodor Lieser Str 5, D-06120 Halle, Germany

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2016年 / 42卷 / 07期

关键词：

Nonconvex vector optimization; variable ordering structure; Ekeland's variational principle; optimality conditions; NONLINEAR SCALARIZATION;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider nonconvex vector optimization problems with variable ordering structures in Banach spaces. Under certain boundedness and continuity properties we present necessary conditions for approximate solutions of these problems. Using a generic approach to subdifferentials we derive necessary conditions for approximate minimizers and approximately minimal solutions of vector optimization problems with variable ordering structures applying nonlinear separating functionals and Eke land's variational principle.

引用

页码：5 / 23

页数：19

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