Tuesday, 13:15 - 13:40 h, Room: H 1012

 

Alain Pietrus
Some methods for solving perturbed variational inclusions

 

Abstract:
This paper deals with variational inclusions of the form 0 ∈ f(x)+g(x)+F(x)
where f is a Fr├ęchet differentiable function, g is a Lipschitz function and F is a set-valued map acting in Rn.

In a first time in this talk, we recall some existing results in relation with metric regularity. In a second time, we focus on the case where the set valued map F is a cone and in this case we introduce different algorithms to approximate a solution x* of the variational inclusion. Different situations are considered: the case where g is smooth, the case where g is semi-smooth (existence of differences divided, … ) and the case where g is only Lipschitz. We show the convergence of these algorithms without the metric regularity assumption.

 

Talk 1 of the invited session Tue.2.H 1012
"Nonsmooth optimization methods" [...]
Cluster 17
"Nonsmooth optimization" [...]

 

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