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SUBOPTIMALITY CONDITIONS FOR MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS
Taiwanese journal of mathematics
In this paper we study mathematical programs with equilibrium constraints (MPECs) described by generalized equations in the extended form where both mappings G and Q are set-valued. Such models arise, in particular, from certain optimization-related problems governed by variational inequalities and first-order optimality conditions in nondifferentiable programming. We establish new weak and strong suboptimality conditions for the general MPEC problems under consideration in finite-dimensionaldoi:10.11650/twjm/1500405196 fatcat:upwd63qdmjccblrnzen26nnyja