A geometric characterization of the tangent cone to feasible points in MPECs yields stationarity concepts and constraint qualifications that avoid the strong nondegeneracy and smoothness assumptions required by classical nonlinear programming approaches.
SIAM Journal on Optimization9(1), 14–32 (1998)
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Exact penalization for MPECs is enabled under broader conditions by fractional-order penalties derived from Lojasiewicz error bounds on KKT residual mappings.
An MPEC is an optimization problem whose feasible set is partly defined by another optimization, variational inequality, complementarity system, or equilibrium model.
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