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

Authors

  • 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.

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Published

2019-12-13

Issue

Volume 10 (2019), Number 2

Section

CRORR Journal Regular Issue

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