CONE ENLARGEMENTS AND APPLICATIONS TO VECTOR OPTIMIZATION

被引：0
|
作者：
Durea M. [1 ,2 ]
机构：
[1] Faculty of Mathematics, "Alexandru Ioan Cuza" University, Iaşi
[2] Octav Mayer" Institute of Mathematics, Iaşi Branch of Romanian Academy, Iaşi
来源：
Journal of Applied and Numerical Optimization | 2023年 / 5卷 / 01期
关键词：
Approximate efficiency; Cone enlargements; Vector optimization;
D O I：
10.23952/jano.5.2023.1.04
中图分类号：
学科分类号：
摘要：
We study four types of enlargements for cones in normed vector spaces. We identify some commune features and mutual inclusions that these enlargements enjoy under different classical properties of cones: normality, well-basedness and so on. The effect of such conic enlargements on the behavior of the Gerstewitz (Tammer) scalarizing functional is shortly presented. Then we prove that, in the virtue of their inclusions, all these enlargements are involved in the study of the properness of several types of solutions in a variety of vector optimization problems. © 2023 Journal of Applied and Numerical Optimization.
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页码：55 / 70
页数：15
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