A new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints
Optimization and Control
2023-06-22 v4
Abstract
It is known in the literature that local minimizers of mathematical programs with complementarity constraints (MPCCs) are so-called M-stationary points, if a weak MPCC-tailored Guignard constraint qualification (called MPCC-GCQ) holds. In this paper we present a new elementary proof for this result. Our proof is significantly simpler than existing proofs and does not rely on deeper technical theory such as calculus rules for limiting normal cones. A crucial ingredient is a proof of a (to the best of our knowledge previously open) conjecture, which was formulated in a Diploma thesis by Schinabeck.
Cite
@article{arxiv.2011.04474,
title = {A new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints},
author = {Felix Harder},
journal= {arXiv preprint arXiv:2011.04474},
year = {2023}
}
Comments
7 pages