Original scientific paper

https://doi.org/10.17535/crorr.2019.0026

Optimality conditions for a bilevel optimization problem in terms of KKT multipliers and convexificators

Nazih Abderrazzak Gadhi ; Department of Mathematics, Sidi Mohamed Ben Abdellah University
Lahoussine Lafhim orcid.org/0000-0003-4589-4346 ; Department of Mathematics, Sidi Mohamed Ben Abdellah University

Abstract

In this paper we investigate a bilevel optimization problem by using the optimistic approach. Under a non smooth generalized Guignard constraint qualification, due the optimal value reformulation, the necessary optimality conditions in terms of convexificators and Karush-Kuhn-Tucker (KKT) multipliers are given.

Keywords

bi-level optimization; constraint qualification; optimality conditions

Hrčak ID:

229891

URI

https://hrcak.srce.hr/229891

Publication date:

13.12.2019.

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