A Newton-Fixed Point Homotopy Algorithm For Nonlinear Complementarity   Problems With Generalized Monotonicity
  In this paper has been considered probability-one global convergence of NFPH (Newton-Fixed Point Homotopy) algorithm for system of nonlinear equations and has been proposed a probability-one homotopy algorithm to solve a regularized smoothing equation for NCP with generalized monotonicity. Our results provide a theoretical basis to develop a new computational method for nonlinear equation systems and complementarity problems. Some preliminary numerical experiments shows that our NFPH method is useful and promissing for difficult nonlinear problems. 
Yunchol Jong, Wonil Kim
math.OC