Mathematical programming with system of equilibrium constraints

被引：17

作者：

Lin, Lai-Jiu ^{[1
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua 50058, Taiwan

来源：

JOURNAL OF GLOBAL OPTIMIZATION | 2007年 / 37卷 / 02期

关键词：

mathematical program (resp bilevel problem; semi-infinite problem) with system of equilibrium constraints; concave (resp convex) multivalued map; upper (resp lower) semicontinuous multivalued map;

D O I：

10.1007/s10898-006-9049-5

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In this paper, we study the mathematical program with system of equilibrium constraints. This problem contains bilevel program with system of equilibrium constraints, semi-infinite program with system of equilibrium constraints, mathematical program with Nash equilibrium constraints, mathematical program with system of mixed variational like inequalities constraints. We establish the existence theorems of mathematical program with system of equilibrium constraints under various assumptions.

引用

页码：275 / 286

页数：12

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