  In this paper, we introduce a new method for solving variational inequality
problems with monotone and Lipschitz-continuous mapping in Hilbert space. The
iterative process is based on two well-known projection method and the hybrid
(or outer approximation) method. However we do not use an extrapolation step in
the projection method. The absence of one projection in our method is explained
by slightly different choice of sets in hybrid method. We prove a strong
convergence of the sequences generated by our method.
