On the Karush–Kuhn–Tucker reformulation of the bilevel optimization problem

@inproceedings{Dempe2012OnTK,
  title={On the Karush–Kuhn–Tucker reformulation of the bilevel optimization problem},
  author={Stephan Dempe and Alain B. Zemkoho},
  year={2012}
}
This paper is mainly concerned with the classical KKT reformulation and the primal KKT reformulation (also known as an optimization problem with generalized equation constraint (OPEC)) of the optimistic bilevel optimization problem. A generalization of the MFCQ to an optimization problem with operator constraint is applied to each of these reformulations, hence leading to new constraint qualifications (CQs) for the bilevel optimization problem. M- and S-type stationarity conditions tailored for… CONTINUE READING

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