A barrier method in convex vector optimization with generalized inequality constraints

被引：0
|
作者：
Marius Durea
Radu Strugariu
机构：
[1] “Alexandru Ioan Cuza” University,Faculty of Mathematics
[2] “Octav Mayer” Institute of Mathematics of the Romanian Academy,Department of Mathematics
[3] “Gheorghe Asachi” Technical University,undefined
来源：
Optimization Letters | 2020年 / 14卷
关键词：
Openness; Vector convexity; Gerstewitz scalarization; Barrier method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this note we present a barrier method for vector optimization problems with inequality constraints. To this aim, we firstly investigate some constraint qualification conditions and we compare them to the corresponding ones in literature. Then, we define a barrier function and observe that its basic properties do work for fairly general situations, while for meaningful convergence results of the associated barrier method we should restrict ourselves to convex case and finite dimensional setting.
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页码：759 / 769
页数：10
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