# Category:Vanishing constraints

This category contains mathematical programs with vanishing constraints (MPVCs). The problem

with smooth functions is called MPVC. Note that every MPVC can be transformed into an MPEC [Achtziger2008]**Author: ** *W. Achtziger; C. Kanzow***Journal: ** *Mathematical Programming Series A***Pages: ** *69--99***Title: ** *Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications***Volume: ** *114***Year: ** *2008*

[Izmailov2009]**Author: ** *A.F. Izmailov; M.V. Solodov***Journal: ** *Journal of Optimization Theory and Applications***Pages: ** *501--532***Title: ** *Mathematical Programs with Vanishing Constraints: Optimality Conditions, Sensitivity, and a Relaxation Method***Volume: ** *142***Year: ** *2009*

. Examples for vanishing constraints are engine speed constraints that are only active if the corresponding gear control is nonzero.

## References

[Achtziger2008] | W. Achtziger; C. Kanzow (2008): Mathematical programs with vanishing constraints: optimality conditions and constraint qualifications. Mathematical Programming Series A, 114, 69--99 | |

[Izmailov2009] | A.F. Izmailov; M.V. Solodov (2009): Mathematical Programs with Vanishing Constraints: Optimality Conditions, Sensitivity, and a Relaxation Method. Journal of Optimization Theory and Applications, 142, 501--532 |

## Pages in category "Vanishing constraints"

This category contains only the following page.