A new smoothing method for nonlinear complementarity problems involving P0-function

In this paper, we present a family of smoothing methods to solve nonlinear complementarity problems (NCPs) involving P0-function. Several regularization or approximation techniques like Fisher-Burmeister’s method, interior-point (IPMs) approaches, already exist. All the corresponding sequence systems equations and depend on parameters that are difficult drive zero. The main novelty our approach is consider as variables converge by themselves We do not need any complicated updating strategy, then obtain nonparametric algorithms. prove some global local convergence results several numerical experiments, comparisons, applications show efficiency approach.