均衡约束数学规划问题的一种新的约束规格
A NEW CONSTRAINT QUALIFICATION FOR MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS

本文研究了均衡约束数学规划（MPEC）问题.利用其弱稳定点，获得了一种新的约束规格-MPEC的伪正规约束规格.用一种简单的方式，证明了该约束规格是介于MPEC-MFCQ （即MPEC， Mangasarian-Fromowitz约束规格）与MPEC-ACQ （即MPEC， Abadie约束规格）之间的约束规格，因此该约束规格也可以导出MPEC问题的M-稳定点.最后通过两个例子，说明了该约束规格与MPEC-MFCQ以及与MPEC-ACQ之间是严格的强弱关系.
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