We consider a semistability property for a solution of variational inclusion of the form 0∈φ(z)+F(z) where φ is a single-valued function admitting a second order Fréchet derivative and F is a set-valued map. We show that this property ensures interesting results for the order of convergence for a Hummel-Seebeck type method. © 2011 Springer-Verlag.
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