%0 Journal Article
%T 均衡约束数学规划问题的一种新的约束规格<br>A NEW CONSTRAINT QUALIFICATION FOR MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS
%A 作者
%A 童毅
%A 吴国民
%A 赵小科
%J 数学杂志
%D 2017
%X 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.<br>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
%K 约束规格 伪正规 均衡约束数学规划 稳定点&lt
%K br&gt
%K constraint qualification pseudonormality mathematical programs with equilibrium constraints stationary
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170216&flag=1