Mathematical Programs with Vanishing Constraints: Optimality Conditions, Sensitivity, and a Relaxation Method

2009 ◽  
Vol 142 (3) ◽  
pp. 501-532 ◽  
Author(s):  
A. F. Izmailov ◽  
M. V. Solodov
Keyword(s):  
Optimality Conditions ◽  
Relaxation Method ◽  
Mathematical Programs ◽  
Vanishing Constraints

On a relaxation method for mathematical programs with vanishing constraints

2012 ◽  
Vol 35 (2) ◽  
pp. 110-130 ◽  
Author(s):  
Wolfgang Achtziger ◽  
Christian Kanzow ◽  
Tim Hoheisel
Keyword(s):  
Relaxation Method ◽  
Mathematical Programs ◽  
Vanishing Constraints

Exact penalty results for mathematical programs with vanishing constraints

2010 ◽  
Vol 72 (5) ◽  
pp. 2514-2526 ◽  
Author(s):  
Tim Hoheisel ◽  
Christian Kanzow ◽  
Jiří V. Outrata
Keyword(s):  
Exact Penalty ◽  
Mathematical Programs ◽  
Vanishing Constraints

scholarly journals A note on the paper "Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints"

2021 ◽  
Author(s):  
Nazih Abderrazzak Gadhi
Keyword(s):  
Optimality Conditions ◽  
Sufficient Optimality Conditions ◽  
Equilibrium Constraints ◽  
Mathematical Programs ◽  
Necessary And Sufficient

In this work, some counterexamples are given to refute some results in the paper by Kohli (RAIRO-Oper. Res. 53, 1617-1632, 2019). We correct the faulty in some of his results.

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