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A smoothing Newton method for mathematical programs constrained by parameterized quasi-variational inequalities
Authors:WU Jia & ZHANG LiWei School of Mathematical Sciences  Dalian University of Technology  Dalian  China
Institution:WU Jia & ZHANG LiWei School of Mathematical Sciences,Dalian University of Technology,Dalian 116024,China
Abstract:We consider a class of mathematical programs governed by parameterized quasi-variational inequalities(QVI).The necessary optimality conditions for the optimization problem with QVI constraints are reformulated as a system of nonsmooth equations under the linear independence constraint qualification and the strict slackness condition.A set of second order sufficient conditions for the mathematical program with parameterized QVI constraints are proposed,which are demonstrated to be sufficient for the second o...
Keywords:smoothing Newton method  MPEC  QVI  optimality conditions  
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