We introduce a new NCP-function in order to reformulate the nonlinear complementarity
problem as a nonsmooth system of equations. This new NCP-function turns out to have …

We prove sufficient conditions for the monotonicity and the strong monotonicity of fixed point
and normal maps associated with variational inequality problems over a general closed …

7 A SURVEY OF SOME NONSMOOTH EQUATIONS AND SMOOTHING NEWTON
METHODS1 Page 1 7 A SURVEY OF SOME NONSMOOTH EQUATIONS AND …

This paper provides for the first time some computable smoothing functions for variational
inequality problems with general constraints. This paper proposes also a new version of the …

Nonlinear analysis is the fascinating emerging field of the twenty-first century characterized
by a remarkable mixture of nonlinear functional analysis, nonlinear operator theory …

A variational inequality problem with a mapping g:ℜ^n→ℜ^n and lower and upper bounds
on variables can be reformulated as a system of nonsmooth equations F(x)=0 in ℜ^n …

Regularization methods for the solution of nonlinear complementarity problems are standard
methods for the solution of monotone complementarity problems and possess strong …

Based on Qi, Sun, and Zhou's smoothing Newton method, we propose a regularized
smoothing Newton method for the box constrained variational inequality problem with P0 …

By smoothing a perturbed minimum function, we propose in this paper a new smoothing
function. The existence and continuity of a smooth path for solving the nonlinear …

Smoothing Newton methods for nonlinear complementarity problems NCP (F) often require
F to be at least a P 0-function in order to guarantee that the underlying Newton equation is …