Notes on Some Constraint Qualiﬁcations for Mathematical Programs with Equilibrium Constraints

Notes on Some Constraint Qualiﬁcations for Mathematical Programs with Equilibrium Constraints. Guo, L. & Lin, G. J Optim Theory Appl, 2013.
abstract bibtex

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.

@article{guo_notes_2013,
	title = {Notes on {Some} {Constraint} {Qualiﬁcations} for {Mathematical} {Programs} with {Equilibrium} {Constraints}},
	abstract = {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.},
	language = {en},
	journal = {J Optim Theory Appl},
	author = {Guo, Lei and Lin, Gui-Hua},
	year = {2013},
	keywords = {/unread, ❓ Multiple DOI},
	pages = {17},
}

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