Stability in Generalized Differentiability Based on a Set Convergence Principle

被引：0
作者：
N. Ovcharova
J. Gwinner
机构：
[1] Universität der Bundeswehr München,Institute of Mathematics, Department of Aerospace Engineering
来源：
Set-Valued Analysis | 2007年 / 15卷
关键词：
Upper set convergence; Clarke generalized gradient; Generalized gradient; Primary: 49J50; 49J52; 49J53; Secondary: 90C31;
D O I：
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学科分类号：
摘要：
In this paper, we are concerned with epiconvergent sequences of nonsmooth functions. From a general principle of upper set convergence of set-valued maps we derive stability results for various objects in generalized differentiability. In particular, we establish stability results for the Clarke generalized gradient of locally Lipschitz functions, respectively for the generalized Hessian of C1,1 functions.
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页码：317 / 329
页数：12
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