Optimality conditions for nonsmooth multiobjective bilevel optimization using tangential subdifferentials

被引：2

作者：

Jennane, Mohsine ^{[1
]}

Kalmoun, El Mostafa ^{[2
]}

El Fadil, Lhoussain ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Dept Math, FSDM, Fes, Morocco

[2] Al Akhawayn Univ Ifrane, Sch Sci & Engn, POB 104, Ifrane 53000, Morocco

来源：

RAIRO-OPERATIONS RESEARCH | 2021年 / 55卷 / 05期

关键词：

Nonsmooth multiobjective optimization; bilevel programming; optimality conditions; optimal value function; constraint qualifications; tangential subdifferentials; PROGRAMMING PROBLEM;

D O I：

10.1051/ro/2021139

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：

In combining the value function approach and tangential subdifferentials, we establish necessary optimality conditions of a nonsmooth multiobjective bilevel programming problem under a suitable constraint qualification. The upper level objectives and constraint functions are neither assumed to be necessarily locally Lipschitz nor convex.

引用

页码：3041 / 3048

页数：8

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