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In this paper, we propose a smoothing method to solve nonlinearcomplementarity problems involving P 0-functions. We propose a nonparametricalgorithm to solve the nonlinear corresponding system of equations and provesome global and local convergence results. We also present several numericalexperiments and applications that show the efficiency of our approach. Our maincontribution relies in the fact that the regularization parameter r isconsidered as a variable and we do not need any complicated strategy to updateit.

A new smoothing method for nonlinear complementarity problems involving P0 function