Tong, Yi; Wu, Guomin; Zhao, Xiaoke A new constraint qualification for mathematical programs with equilibrium constraints. (Chinese. English summary) Zbl 1389.90331 J. Math., Wuhan Univ. 37, No. 2, 376-382 (2017). Summary: This paper considers mathematical programs with equilibrium constraints (MPEC). A new constraint qualification called MPEC-pseudonormality is proposed by weakly stationary. According to a simple way, we prove that MPEC-pseudonormality is between MPEC Mangasarian-Fromovitz constraint qualification (MPEC-MFCQ) and MPEC Abadies constant qulification (MPEC-ACQ). So MPEC-pseudonormality can also derive \(M\)-stationary of MPEC. Finally, we state that the relationships among MPEC-pseudonormality, MPEC-MFCQ and MPEC-ACQ are strict. MSC: 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) 65K05 Numerical mathematical programming methods Keywords:constraint qualification; pseudonormality; equilibrium constraints; stationary PDFBibTeX XMLCite \textit{Y. Tong} et al., J. Math., Wuhan Univ. 37, No. 2, 376--382 (2017; Zbl 1389.90331)