IMPLICIT FUNCTIONS, LIPSCHITZ-MAPS, AND STABILITY IN OPTIMIZATION

被引：52

作者：

CONTCHEV, AL ^{[1
]}

HAGER, WW ^{[1
]}

机构：

[1] UNIV FLORIDA,DEPT MATH,GAINESVILLE,FL 32611

来源：

MATHEMATICS OF OPERATIONS RESEARCH | 1994年 / 19卷 / 03期

关键词：

PSEUDO-LIPSCHITZ MAPS; IMPLICIT FUNCTIONS; GENERALIZED EQUATIONS; STABILITY IN OPTIMIZATION;

D O I：

10.1287/moor.19.3.753

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：

We present an implicit function theorem for set-valued maps associated with the solutions of generalized equations. As corollaries of this theorem, we derive both known and new results. Strong regularity of variational inequalities and Lipschitz stability of optimization problems are discussed,

引用

页码：753 / 768

页数：16

共 33 条

[1]

ALT W, 1990, BAYREUTHER MATH SCHR, V34, P1

[2]

Aubin J.-P., 2009, SET-VALUED ANAL, DOI 10.1007/978-0-8176-4848-0

[3] LIPSCHITZ BEHAVIOR OF SOLUTIONS TO CONVEX MINIMIZATION PROBLEMS [J].