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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.

MSC:

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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