Notes on Some Constraint Qualifications for Mathematical Programs with Equilibrium Constraints

Lei Guo () and Gui-Hua Lin ()
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Lei Guo: Dalian University of Technology
Gui-Hua Lin: Dalian University of Technology

Journal of Optimization Theory and Applications, 2013, vol. 156, issue 3, No 5, 600-616

Abstract: 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.

Keywords: Mathematical program with equilibrium constraints; Constraint qualification; Bouligand stationarity; Mordukhovich stationarity (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (14)

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DOI: 10.1007/s10957-012-0084-8

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