Constraint Qualifications and Optimality Conditions in Bilevel Optimization

Bilevel Optimization - Springer Optimization and Its Applications ◽

10.1007/978-3-030-52119-6_8 ◽

2020 ◽

pp. 227-251

Author(s):

Jane J. Ye

Keyword(s):

Optimality Conditions ◽

Constraint Qualifications ◽

Bilevel Optimization

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Geometry of optimality conditions and constraint qualifications: The convex case

Mathematical Programming ◽

10.1007/bf01581627 ◽

1980 ◽

Vol 19 (1) ◽

pp. 32-60 ◽

Author(s):

Henry Wolkowicz

Keyword(s):

Optimality Conditions ◽

Constraint Qualifications ◽

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Optimality Conditions for a Nonsmooth Semivectorial Bilevel Optimization Problem

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2021.1875484 ◽

2021 ◽

Vol 42 (3) ◽

pp. 298-319

Author(s):

S. Dempe ◽

N. Gadhi ◽

M. El Idrissi

Keyword(s):

Optimality Conditions ◽

Optimization Problem ◽

Bilevel Optimization

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Second order optimality conditions for a bilevel optimization problem in terms of approximate Hessians

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125932 ◽

2021 ◽

pp. 125932

Author(s):

S. Dempe ◽

M. El idrissi ◽

N. Gadhi

Keyword(s):

Optimality Conditions ◽

Optimization Problem ◽

Bilevel Optimization ◽

Second Order ◽

Second Order Optimality Conditions

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Locally Lipschitz vector optimization problems: second-order constraint qualifications, regularity condition and KKT necessary optimality conditions

10.1007/s11117-019-00679-z ◽

2019 ◽

Vol 24 (2) ◽

pp. 313-337 ◽

Author(s):

Yi-Bin Xiao ◽

Nguyen Van Tuyen ◽

Jen-Chih Yao ◽

Ching-Feng Wen

Keyword(s):

Optimality Conditions ◽

Vector Optimization ◽

Regularity Condition ◽

Optimization Problems ◽

Constraint Qualifications ◽

Necessary Optimality Conditions ◽

Second Order ◽

Vector Optimization Problems ◽

Order Constraint ◽

Locally Lipschitz

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Generalized Constraint Qualifications and Optimality Conditions for Set-Valued Optimization Problems

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.2001.7705 ◽

2002 ◽

Vol 265 (2) ◽

pp. 309-321 ◽

Author(s):

Huang Yong-Wei

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Constraint Qualifications ◽

Generalized Constraint

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Necessary Optimality Conditions for Bilevel Optimization Problems Using Convexificators

Journal of Global Optimization ◽

10.1007/s10898-005-1650-5 ◽

2006 ◽

Vol 34 (4) ◽

pp. 535-549 ◽

Author(s):

H. Babahadda ◽

N. Gadhi

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Necessary Optimality Conditions ◽

Bilevel Optimization

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New optimality conditions and a scalarization approach for a nonconvex semi-vectorial bilevel optimization problem

10.1007/s11117-019-00685-1 ◽

2019 ◽

Vol 24 (2) ◽

pp. 395-413 ◽

Author(s):

L. Lafhim

Keyword(s):

Optimality Conditions ◽

Optimization Problem ◽

Bilevel Optimization

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When the Karush–Kuhn–Tucker Theorem Fails: Constraint Qualifications and Higher-Order Optimality Conditions for Degenerate Optimization Problems

Journal of Optimization Theory and Applications ◽

10.1007/s10957-017-1121-4 ◽

2017 ◽

Vol 174 (2) ◽

pp. 367-387 ◽

Author(s):

Olga Brezhneva ◽

Alexey A. Tret’yakov

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Constraint Qualifications ◽

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Mathematical Programs with Semidefinite Cone Complementarity Constraints: Constraint Qualifications and Optimality Conditions

Set-Valued and Variational Analysis ◽

10.1007/s11228-013-0242-7 ◽

2013 ◽

Vol 22 (1) ◽

pp. 155-187 ◽

Author(s):

Jia Wu ◽

Liwei Zhang ◽

Yi Zhang

Keyword(s):

Optimality Conditions ◽

Constraint Qualifications ◽

Complementarity Constraints ◽

Mathematical Programs ◽

Semidefinite Cone

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Optimality conditions for nonsmooth multiobjective bilevel optimization problems

Annals of Operations Research ◽

10.1007/s10479-017-2734-6 ◽

2017 ◽

Vol 287 (2) ◽

pp. 617-642 ◽

Author(s):

Thai Doan Chuong

Keyword(s):

Optimality Conditions ◽

Optimization Problems ◽

Bilevel Optimization

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