On the calmness of a class of multifunctions

被引：143
|
作者：
Henrion, R
Jourani, A
Outrata, J
机构：
[1] Weierstrass Institute Berlin
[2] Dépt. de Mathématiques, Université de Bourgogne
[3] Inst. of Info. Theory and Automation
来源：
SIAM JOURNAL ON OPTIMIZATION | 2002年 / 13卷 / 02期
关键词：
calmness; multifunctions; constraint qualifications; nonsmooth calculus; solution stability; equilibrium problems; weak sharp minima;
D O I：
10.1137/S1052623401395553
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper deals with the calmness of a class of multifunctions in finite dimensions. Its first part is devoted to various conditions for calmness, which are derived in terms of coderivatives and subdifferentials. The second part demonstrates the importance of calmness in several areas of nonsmooth analysis. In particular, we focus on nonsmooth calculus and solution stability in mathematical programming and in equilibrium problems. The derived conditions find a number of applications there.
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页码：603 / 618
页数：16
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