A note on optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem

被引：0

作者：

Dempe, Stephan ^{[1
]}

Gadhi, Nazih Abderrazzak ^{[2
]}

机构：

[1] TU Bergakad Freiberg, Dept Math & Comp Sci, Freiberg, Germany

[2] Sidi Mohamed Ben Abdellah Univ, LAMA, FSDM, Fes, Morocco

来源：

OPTIMIZATION | 2025年 / 74卷 / 04期

关键词：

Bilevel optimization; constraint qualification; convexificators; optimality conditions; optimal value function;

D O I：

10.1080/02331934.2023.2284967

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：

Necessary optimality conditions for a vectorial bilevel programming problem are given by Dempe et al. [Optimization 69, 1811-1830, 2020]. The main result, Theorem 1, is based on a result of Dutta and Chandra [J. Optim. Theory Appl. 113, 41-64, 2002] which turned out to be incorrect. In this work, we propose an improvement to Dempe et al.'s result that does not use any convexity-type restriction.

引用

页码：967 / 979

页数：13

共 50 条

[1] Optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem
Dempe, S.
Gadhi, N.
El Idrissi, M.
OPTIMIZATION, 2020, 69 (7-8) : 1811 - 1830
[2] Optimality conditions for a bilevel optimization problem in terms of KKT multipliers and convexificators
Abderrazzak Gadhi, Nazih
Lafhim, Lahoussine
CROATIAN OPERATIONAL RESEARCH REVIEW, 2019, 10 (02) : 329 - 335
[3] optimality conditions in terms of convexificators for a bilevel multiobjective optimization problem (vol 69, pg 1811, 2020)
Dempe, Stephan
Gadhi, Nazih Abderrazzak
OPTIMIZATION, 2024, 73 (13) : 3819 - 3819
[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
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
COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (02):
[6] Necessary optimality conditions for a bilevel multiobjective problem in terms of approximations
Gadhi, Nazih Abderrazzak
Ohda, Mohamed
OPTIMIZATION, 2023,
[7] Necessary optimality conditions for bilevel optimization problems using convexificators
Babahadda, H
Gadhi, N
JOURNAL OF GLOBAL OPTIMIZATION, 2006, 34 (04) : 535 - 549
[8] Necessary Optimality Conditions for Bilevel Optimization Problems Using Convexificators
H. Babahadda
N. Gadhi
Journal of Global Optimization, 2006, 34 : 535 - 549
[9] Necessary optimality conditions in terms of convexificators in Lipschitz optimization
Li, X. F.
Zhang, J. Z.
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2006, 131 (03) : 429 - 452
[10] Necessary Optimality Conditions in Terms of Convexificators in Lipschitz Optimization
X. F. Li
J. Z. Zhang
Journal of Optimization Theory and Applications, 2006, 131 : 429 - 452

← 1 2 3 4 5 →