On the Calmness of a Class of Multifunctions

On the Calmness of a Class of Multifunctions
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DOI：
10.1137/s1052623401395553
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发表时间：
2002-06
期刊：
SIAM J. Optim.
影响因子：
--
通讯作者：
R. Henrion;A. Jourani;J. Outrata
R. Henrion;A. Jourani;J. Outrata
中科院分区：
其他
文献类型：
--
作者：
R. Henrion;A. Jourani;J. Outrata

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研究了有限维中一类集值函数的镇定性。它的第一部分是致力于各种条件的平静，这是来自方面的coderivatives和次微分。第二部分论证了冷静在非光滑分析的几个领域中的重要性。特别是，我们专注于非光滑微积分和解决方案的稳定性，在数学规划和平衡问题。导出的条件找到了一些应用程序。
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.