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A new constraint qualification for mathematical programs with equilibrium constraints. (Chinese. English summary) Zbl 1389.90331

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
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