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 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.

Published
2019-12-13
Section
CRORR Journal Regular Issue