A generalized mathematical program with equilibrium constraints. (English) Zbl 0968.49012

The main results of the paper provide necessary conditions of optimality for a minimization problem subject to so-called equilibrium constraints. The approach makes use of Mordukhovich’s generalized differential calculus. The applications deal with the situations where the constraints are described by an implicit complementarity problem or a discretized hemivariational inequality.


49J40 Variational inequalities
49J52 Nonsmooth analysis
90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90C46 Optimality conditions and duality in mathematical programming
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