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

Christian Kanzow; Alexandra Schwartz

doi:10.1137/090774975

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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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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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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Smoothing partial exact penalty splitting method for mathematical programs with equilibrium constraints

Journal of Global Optimization ◽

10.1007/s10898-017-0539-4 ◽

2017 ◽

Vol 70 (1) ◽

pp. 223-236 ◽

Cited By ~ 2

Author(s):

Suhong Jiang ◽

Jin Zhang ◽

Caihua Chen ◽

Guihua Lin

Keyword(s):

Splitting Method ◽

Exact Penalty ◽

Equilibrium Constraints ◽

Mathematical Programs

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Partial Exact Penalty for Mathematical Programs with Equilibrium Constraints

Set-Valued Analysis ◽

10.1007/s11228-008-0095-7 ◽

2008 ◽

Vol 16 (5-6) ◽

pp. 785-804 ◽

Cited By ~ 14

Author(s):

Guoshan Liu ◽

Jane Ye ◽

Jiaping Zhu

Keyword(s):

Exact Penalty ◽

Equilibrium Constraints ◽

Mathematical Programs

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Some Exact Penalty Results for Nonlinear Programs and Mathematical Programs with Equilibrium Constraints

Journal of Optimization Theory and Applications ◽

10.1023/a:1024787424532 ◽

2003 ◽

Vol 118 (1) ◽

pp. 67-80 ◽

Cited By ~ 39

Author(s):

G.H. Lin ◽

M. Fukushima

Keyword(s):

Exact Penalty ◽

Equilibrium Constraints ◽

Nonlinear Programs ◽

Mathematical Programs

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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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