This paper deals with variational inclusions of the form : $0\in \varphi(z)+F(z)$ where $\varphi$ is a single-valued function admitting a second order Fréchet derivative and $F$ is a set-valued map from $\R^q$ to the closed subsets of $\R^q$. In order to approximate a solution $\bar z$ of the previous inclusion, we use an iterative scheme based on a multipoint method. We obtain, thanks to some semistability properties of $\bar z$, local superquadratic or cubic convergent sequences