Thursday, 13:15 - 13:40 h, Room: H 2035

 

Alexey Izmailov
Strong regularity and abstract Newton schemes for nonsmooth generalized equations

Coauthor: Alexey S. Kurennoy

 

Abstract:
We suggest the inverse function theorem for generalized equations, unifying Robinson's theorem for strongly regular generalized equations and Clarke's inverse function theorem for equations with locally Lipschitzian mappings. This theorem is further applied in the context of very general Newton schemes, covering, among others, some methods which are usually not regarded as Newtonian. In particular, we derive new local convergence results for the augmented Lagrangian methods applied to optimization problems with locally Lipschitzian derivatives.

 

Talk 1 of the invited session Thu.2.H 2035
"Stability of constraint systems" [...]
Cluster 24
"Variational analysis" [...]

 

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