\input zb-basic \input zb-ioport \iteman{io-port 06090595} \itemau{Xu, Haiwen} \itemti{A forward accelerated contraction method for a class of monotone nonlinear variational inequalities.} \itemso{J. Numer. Methods Comput. Appl. 32, No. 4, 259-266 (2011).} \itemab Summary: In this paper, it first gives the analysis of PPA method and APPA method. Second, it designs a forward accelerated contraction method for a class of monotone nonlinear variational inequalities, which makes greater use of historical information of approximate rule. The convergence of forward accelerated contraction method is proved by the unified framework of proximal-like contraction methods. Finally, it is also proved that the efficiency of the forward accelerated contraction method is confirmed through a series of numerical experiments. \itemrv{~} \itemcc{} \itemut{variational inequalities; contraction methods} \itemli{} \end