| 摘要: |
| 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. |
| 关键词: 约束规格 伪正规 均衡约束数学规划 稳定点 |
| DOI： |
| 分类号:O221.2 |
| 基金项目:国家自然科学基金资助（71471140）. |
|
| A NEW CONSTRAINT QUALIFICATION FOR MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS |
|
TONG Yi1, WU Guo-min2, ZHAO Xiao-ke1
|
|
1.School of Mathematics and Statistics, WuHan University, Wuhan 430072, China;2.Department of Mathematics and Physics, Beijing Institute of Petrochemical Technology, Beijing 102617, China
|
| Abstract: |
| 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. |
| Key words: constraint qualification pseudonormality mathematical programs with equilibrium constraints stationary |
