Stability in Generalized Differentiability Based on a Set Convergence Principle |
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| Authors: | N Ovcharova and J Gwinner |
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| Institution: | (1) Institute of Mathematics, Department of Aerospace Engineering, Universit?t der Bundeswehr München, Muenchen, Germany |
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| Abstract: | 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 C
1,1 functions.
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| Keywords: | Upper set convergence Clarke generalized gradient Generalized gradient |
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