Directional derivatives and subdifferentials for set-valued maps applied to set optimization

被引：4

作者：

Durea, Marius ^{[1
,2
]}

Strugariu, Radu ^{[3
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Bd Carol I 11, Iasi 700506, Romania

[2] Romanian Acad, Octav Mayer Inst Math, Iasi, Romania

[3] Gh Asachi Tech Univ, Dept Math, Bd Carol I 11, Iasi 700506, Romania

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2023年 / 85卷 / 03期

关键词：

Set optimization; Generalized directional derivatives; Subdifferentials of set-valued maps; Optimality conditions; Penalization methods; STABILITY;

D O I：

10.1007/s10898-022-01222-3

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：

We present a general method to devise directional derivatives and subdifferentials for set-valued maps that generalize the corresponding constructions from the classical situation of real-valued functions. We show that these generalized differentiation objects enjoy some properties that, on the one hand, meaningfully extend the aforementioned case and, on the another hand, are useful to deal with the so-called l-minimality in set optimization problems.

引用

页码：687 / 707

页数：21

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