| Article ID: | iaor20131997 |
| Volume: | 156 |
| Issue: | 3 |
| Start Page Number: | 600 |
| End Page Number: | 616 |
| Publication Date: | Mar 2013 |
| Journal: | Journal of Optimization Theory and Applications |
| Authors: | Lin Gui-Hua, Guo Lei |
| Keywords: | programming: mathematical |
We study the constraint qualifications for mathematical programs with equilibrium constraints (MPEC). Firstly, we investigate the weakest constraint qualifications for the Bouligand and Mordukhovich stationarities for MPEC. Then, we show that the MPEC relaxed constant positive linear dependence condition can ensure any locally optimal solution to be Mordukhovich stationary. Finally, we give the relations among the existing MPEC constraint qualifications.