Iterative solving of generalized equations with calm solution mappings

We present an iterative procedure for solving, in finite dimensions, generalized equations of the formequation(∗)0∈f(x)+F(x),0∈f(x)+F(x), where f   is a continuous function while FF stands for a closed set-valued mapping. Assuming that f belongs to a class of functions admitting a certain type of approximation and that the solution set of (∗) satisfies a calmness-type property we show that the method we consider is superlinearly convergent to a solution of (∗).