A class of nonlinear complementarity problems are first reformulated into
a series of equivalent implicit fixed-point equations in this paper. Then we establish
a modulus-based synchronous multisplitting iteration method based on the fixed-point
equation. Moreover, several kinds of special choices of the iteration methods including
multisplitting relaxation methods such as extrapolated Jacobi, Gauss-Seidel, successive
overrelaxation (SOR), and accelerated overrelaxation (AOR) of the modulus type are
presented. Convergence theorems for these iteration methods are proven when the coefficient matrix A is an H+-matrix. Numerical results are also provided to confirm the
efficiency of these methods in actual implementations.