Friday, 10:30 - 10:55 h, Room: H 2051

 

Diethard Pallaschke
Quasidifferentiable calculus and minimal pairs of compact convex sets

Coauthor: Ryszard Urbanski

 

Abstract:
The quasidifferential calculus developed by V.,F. Demyanov and A.,M. Rubinov provides a
complete analogon to the classical calculus of differentiation for a wide class of non-smooth functions. Although this looks at the first glance as a generalized subgradient calculus for pairs of subdifferentials it turns out that, after a more detailed analysis, the quasidifferential calculus is a kind of Fréchet-differentiations whose gradients are elements of a suitable
Minkowski-Rådström-Hörmander space. Since the elements of the Minkowski-Rådström-Hörmander space are not uniquely determined, we mainly focused our attention to smallest possible representations of quasidifferentials, i.e. to minimal representations.

 

Talk 1 of the invited session Fri.1.H 2051
"Generalized differentiation and applications" [...]
Cluster 24
"Variational analysis" [...]

 

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