Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints
RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 5, pp. 1617-1632.

The main aim of this paper is to develop necessary Optimality conditions using Convexifactors for mathematical programs with equilibrium constraints (MPEC). For this purpose a nonsmooth version of the standard Guignard constraint qualification (GCQ) and strong stationarity are introduced in terms of convexifactors for MPEC. It is shown that Strong stationarity is the first order necessary optimality condition under nonsmooth version of the standard GCQ. Finally, notions of asymptotic pseudoconvexity and asymptotic quasiconvexity are used to establish the sufficient optimality conditions for MPEC.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2018084
Classification : 90C30, 90C46, 49J52
Mots-clés : Mathematical programs with equilibrium constraints, Convexifactors, Guignard constraint qualification, Strong stationarity, Optimality conditions
Kohli, Bhawna 1

1 
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Kohli, Bhawna. Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints. RAIRO - Operations Research - Recherche Opérationnelle, Tome 53 (2019) no. 5, pp. 1617-1632. doi : 10.1051/ro/2018084. http://www.numdam.org/articles/10.1051/ro/2018084/

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