In this paper we introduce a new class of iterative methods for solving the monotone variational inequalities u* is an element of Omega, (u - u*)(T) F(u*) greater than or equal to 0, For All u is an element of Omega. Each iteration of the methods presented consists essentially only of the computation of F(u), a projection to Omega, nu := P-Omega[u - F(u)], and the mapping F(nu). The distance of the iterates to the solution set monotonically converges to zero. Both the methods and the convergence proof are quite simple.