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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.
Kohli, Bhawna 1
@article{RO_2019__53_5_1617_0,
author = {Kohli, Bhawna},
title = {Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {1617--1632},
publisher = {EDP-Sciences},
volume = {53},
number = {5},
year = {2019},
doi = {10.1051/ro/2018084},
zbl = {1431.90151},
mrnumber = {4016525},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/ro/2018084/}
}
TY - JOUR AU - Kohli, Bhawna TI - Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2019 SP - 1617 EP - 1632 VL - 53 IS - 5 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/ro/2018084/ DO - 10.1051/ro/2018084 LA - en ID - RO_2019__53_5_1617_0 ER -
%0 Journal Article %A Kohli, Bhawna %T Necessary and sufficient optimality conditions using convexifactors for mathematical programs with equilibrium constraints %J RAIRO - Operations Research - Recherche Opérationnelle %D 2019 %P 1617-1632 %V 53 %N 5 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/ro/2018084/ %R 10.1051/ro/2018084 %G en %F RO_2019__53_5_1617_0
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://geodesic.mathdoc.fr/articles/10.1051/ro/2018084/
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