On Implicit Multifunction Theorems

被引：0
|
作者：
D. Azé
S. Benahmed
机构：
[1] Université Paul Sabatier,Institut de Mathématiques de Toulouse UMR CNRS 5219
[2] ENSET D’Oran,undefined
来源：
Set-Valued Analysis | 2008年 / 16卷
关键词：
Metric regularity; Implicit multifunction theorems; Strong slope; 47J07; 49J52; 49J53; 58C15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We give implicit multifunction results generalizing to multifunctions the Robinson’s implicit function theorem (Robinson, Math Oper Res 16(2):292–309, 1991). To this end, we use parametric error bounds estimates for a suitable function refining the one given in Azé and Corvellec (ESAIM Control Optim Calc Var 10:409–425, 2004). Sharp approximations of the implicit multifunctions are given extending the results of Nachi and Penot (Control Cybernet 35:871–901, 2005).
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页码：129 / 155
页数：26
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