New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis

Helmut Gfrerer; Jane J. Ye

doi:10.1137/16m1088752

New Constraint Qualifications for Mathematical Programs with Equilibrium Constraints via Variational Analysis

SIAM Journal on Optimization ◽

10.1137/16m1088752 ◽

2017 ◽

Vol 27 (2) ◽

pp. 842-865 ◽

Cited By ~ 18

Author(s):

Helmut Gfrerer ◽

Jane J. Ye

Keyword(s):

Variational Analysis ◽

Constraint Qualifications ◽

Equilibrium Constraints ◽

Mathematical Programs

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Constraint Qualifications for Mathematical Programs with Equilibrium Constraints and their Local Preservation Property

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0546-2 ◽

2014 ◽

Vol 163 (3) ◽

pp. 755-776 ◽

Cited By ~ 9

Author(s):

Nguyen Huy Chieu ◽

Gue Myung Lee

Keyword(s):

Constraint Qualifications ◽

Equilibrium Constraints ◽

Mathematical Programs ◽

Preservation Property

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First-Order Optimality Conditions for Elliptic Mathematical Programs with Equilibrium Constraints via Variational Analysis

SIAM Journal on Optimization ◽

10.1137/100802396 ◽

2011 ◽

Vol 21 (4) ◽

pp. 1561-1593 ◽

Cited By ~ 22

Author(s):

M. Hintermüller ◽

T. Surowiec

Keyword(s):

Optimality Conditions ◽

Variational Analysis ◽

Equilibrium Constraints ◽

First Order ◽

Mathematical Programs ◽

First Order Optimality Conditions

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Mathematical Programs with Equilibrium Constraints: Enhanced Fritz John-conditions, New Constraint Qualifications, and Improved Exact Penalty Results

SIAM Journal on Optimization ◽

10.1137/090774975 ◽

2010 ◽

Vol 20 (5) ◽

pp. 2730-2753 ◽

Cited By ~ 39

Author(s):

Christian Kanzow ◽

Alexandra Schwartz

Keyword(s):

Constraint Qualifications ◽

Exact Penalty ◽

Equilibrium Constraints ◽

Mathematical Programs ◽

Fritz John Conditions

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Scaled constraint qualifications for generalized equation constrained problems and application to nonsmooth mathematical programs with equilibrium constraints

Positivity ◽

10.1007/s11117-019-00676-2 ◽

2019 ◽

Vol 24 (2) ◽

pp. 253-285 ◽

Cited By ~ 1

Author(s):

Nooshin Movahedian

Keyword(s):

Constraint Qualifications ◽

Generalized Equation ◽

Equilibrium Constraints ◽

Mathematical Programs ◽

Constrained Problems

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Constraint Qualifications for Nonsmooth Mathematical Programs with Equilibrium Constraints

Set-Valued and Variational Analysis ◽

10.1007/s11228-009-0103-6 ◽

2009 ◽

Vol 17 (1) ◽

pp. 63-95 ◽

Cited By ~ 9

Author(s):

N. Movahedian ◽

S. Nobakhtian

Keyword(s):

Constraint Qualifications ◽

Equilibrium Constraints ◽

Mathematical Programs

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Two New Weak Constraint Qualifications for Mathematical Programs with Equilibrium Constraints and Applications

Journal of Optimization Theory and Applications ◽

10.1007/s10957-019-01561-4 ◽

2019 ◽

Vol 183 (2) ◽

pp. 566-591 ◽

Cited By ~ 2

Author(s):

Alberto Ramos

Keyword(s):

Constraint Qualifications ◽

Equilibrium Constraints ◽

Mathematical Programs

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Mathematical programs with equilibrium constraints: a sequential optimality condition, new constraint qualifications and algorithmic consequences

Optimization Methods and Software ◽

10.1080/10556788.2019.1702661 ◽

2019 ◽

pp. 1-37 ◽

Cited By ~ 3

Author(s):

Alberto Ramos

Keyword(s):

Optimality Condition ◽

Constraint Qualifications ◽

Equilibrium Constraints ◽

Mathematical Programs

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Notes on Some Constraint Qualifications for Mathematical Programs with Equilibrium Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0084-8 ◽

2012 ◽

Vol 156 (3) ◽

pp. 600-616 ◽

Cited By ~ 27

Author(s):

Lei Guo ◽

Gui-Hua Lin

Keyword(s):

Constraint Qualifications ◽

Equilibrium Constraints ◽

Mathematical Programs

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Analysis of a New Sequential Optimality Condition Applied to Mathematical Programs with Equilibrium Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-020-01658-1 ◽

2020 ◽

Vol 185 (2) ◽

pp. 433-447

Author(s):

Elias S. Helou ◽

Sandra A. Santos ◽

Lucas E. A. Simões

Keyword(s):

Optimality Condition ◽

Equilibrium Constraints ◽

Mathematical Programs

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Second-Order Optimality Conditions for Mathematical Programs with Equilibrium Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-012-0228-x ◽

2012 ◽

Vol 158 (1) ◽

pp. 33-64 ◽

Cited By ~ 27

Author(s):

Lei Guo ◽

Gui-Hua Lin ◽

Jane J. Ye

Keyword(s):

Optimality Conditions ◽

Second Order ◽

Equilibrium Constraints ◽

Second Order Optimality Conditions ◽

Mathematical Programs

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