New concepts of directional derivatives for set-valued maps and applications to set optimization

被引:7
作者
Burlica, Monica [1 ]
Durea, Marius [2 ,3 ]
Strugariu, Radu [1 ]
机构
[1] Gh Asachi Tech Univ, Dept Math, Iasi, Romania
[2] Alexandru Ioan Cuza Univ, Fac Math, Iasi, Romania
[3] Romanian Acad, Octav Mayer Inst Math, Iasi, Romania
关键词
Set optimization; directional derivatives; optimality conditions; WELL-POSEDNESS; SCALARIZATION; STABILITY;
D O I
10.1080/02331934.2022.2088368
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 introduce and study two directional derivatives adapted to the case of set optimization. We motivate our approach by the novelty and the flexibility of these constructions for set optimization problems and by their relations, in some particular cases, to known objects of generalized differentiation. We prove optimality conditions for unconstrained problems on the basis of these derivatives and we extend these conditions to constrained problems by means of a penalization result and some calculus rules.
引用
收藏
页码:1069 / 1091
页数:23
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