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

被引：2

作者：

Abderrazzak Gadhi, Nazih ^{[1
]}

Lafhim, Lahoussine ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Dept Math, Dhar El Mahraz, Fes, Morocco

来源：

CROATIAN OPERATIONAL RESEARCH REVIEW | 2019年 / 10卷 / 02期

关键词：

bilevel optimization; constraint qualification; optimality conditions; PROGRAMMING PROBLEM; MARGINAL FUNCTIONS;

D O I：

10.17535/crorr.2019.0026

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

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.

引用

页码：329 / 335

页数：7

共 50 条

[1] Optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem
Dempe, S.
Gadhi, N.
El Idrissi, M.
[J]. OPTIMIZATION, 2020, 69 (7-8) : 1811 - 1830
[2] A note on optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem
Dempe, Stephan
Gadhi, Nazih Abderrazzak
[J]. OPTIMIZATION, 2023,
[3] optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem (vol 69, pg 1811, 2020)
Dempe, Stephan
Gadhi, Nazih Abderrazzak
[J]. OPTIMIZATION, 2023,
[4] Optimality conditions and duality in terms of convexificators for multiobjective bilevel programming problem with equilibrium constraints
Tran Van Su
Dinh Dieu Hang
Nguyen Cong Dieu
[J]. Computational and Applied Mathematics, 2021, 40
[5] Optimality conditions and duality in terms of convexificators for multiobjective bilevel programming problem with equilibrium constraints
Tran Van Su
Dinh Dieu Hang
Nguyen Cong Dieu
[J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (02):
[6] Necessary optimality conditions for bilevel optimization problems using convexificators
Babahadda, H
Gadhi, N
[J]. JOURNAL OF GLOBAL OPTIMIZATION, 2006, 34 (04) : 535 - 549
[7] Necessary Optimality Conditions for Bilevel Optimization Problems Using Convexificators
H. Babahadda
N. Gadhi
[J]. Journal of Global Optimization, 2006, 34 : 535 - 549
[8] Necessary optimality conditions in terms of convexificators in Lipschitz optimization
Li, X. F.
Zhang, J. Z.
[J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 131 (03) : 429 - 452
[9] KKT REFORMULATION AND NECESSARY CONDITIONS FOR OPTIMALITY IN NONSMOOTH BILEVEL OPTIMIZATION
Dempe, Stephan
Zemkoho, Alain B.
[J]. SIAM JOURNAL ON OPTIMIZATION, 2014, 24 (04) : 1639 - 1669
[10] Necessary Optimality Conditions in Terms of Convexificators in Lipschitz Optimization
X. F. Li
J. Z. Zhang
[J]. Journal of Optimization Theory and Applications, 2006, 131 : 429 - 452

← 1 2 3 4 5 →