Regularization method for stochastic mathematical programs with complementarity constraints
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 2, pp. 252-265.

In this paper, we consider a class of stochastic mathematical programs with equilibrium constraints (SMPECs) that has been discussed by Lin and Fukushima (2003). Based on a reformulation given therein, we propose a regularization method for solving the problems. We show that, under a weak condition, an accumulation point of the generated sequence is a feasible point of the original problem. We also show that such an accumulation point is S-stationary to the problem under additional assumptions.

DOI : 10.1051/cocv:2005005
Classification : 90C30, 90C33
Mots clés : stochastic mathematical program with equilibrium constraints, S-stationarity, Mangasarian-Fromovitz constraint qualification
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     author = {Lin, Gui-Hua and Fukushima, Masao},
     title = {Regularization method for stochastic mathematical programs with complementarity constraints},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {252--265},
     publisher = {EDP-Sciences},
     volume = {11},
     number = {2},
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     doi = {10.1051/cocv:2005005},
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Lin, Gui-Hua; Fukushima, Masao. Regularization method for stochastic mathematical programs with complementarity constraints. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 2, pp. 252-265. doi : 10.1051/cocv:2005005. http://www.numdam.org/articles/10.1051/cocv:2005005/

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