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In the paper, a variant of the \ssstar Newton method is developed for thenumerical solution of generalized equations, in which the multi-valued part isa so-called SCD (subspace containing derivative) mapping. Under a rather mildregularity requirement, the method exhibits (locally) superlinear convergencebehavior. From the main conceptual algorithm, two implementable variants arederived whose efficiency is tested via a generalized equation modeling adiscretized static contact problem with Coulomb friction.

On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction