Piecewise M-stationarity is equivalent to B-stationarity for MPCCs under MPCC-ACQ and reduces the cost of verifying stationarity for NCP-based algorithms.
SIAM Journal on Matrix Analysis and Applica- tions 14(4), 1168–1190 (1993)
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Piecewise M-Stationarity and Related Algorithms for Mathematical Programs with Complementarity Constraints
Piecewise M-stationarity is equivalent to B-stationarity for MPCCs under MPCC-ACQ and reduces the cost of verifying stationarity for NCP-based algorithms.