This paper gives an extensive documentation of applications of finite-dimensional nonlinear
complementarity problems in engineering and equilibrium modeling. For most applications …

The smoothing Newton method for solving a system of nonsmooth equations $ F (x)= 0$,
which may arise from the nonlinear complementarity problem, the variational inequality …

Tensors (hypermatrices) are multidimensional analogs of matrices. The tensor
complementarity problem is a class of nonlinear complementarity problems with the involved …

This chapter presents a comprehensive treatment of the nonlinear complementarity problem
and several related mathematical programs in finite dimensions. Topics discussed include …

Generalizing the concept of W 0-pair of Willson, we introduce the notions of column (row) W
0-and column (row) W-properties for a set of k+ 1 square matrices {M0, M1,…, Mk}(of the …

In this work, by applying the synchronous multisplitting technique to the non-auxiliary
variable modulus equation of the vertical linear complementarity problems, a new parallel …

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 …

There are some people that I would like to thank for their contribution to this thesis and to the
research that will be presented in it. First of all I want to express my gratitude and my …

We introduce a modulus-based formulation for vertical linear complementarity problems
(VLCPs) with an arbitrary number ℓ of matrices. This formulation can be used to set up a …

In this paper, we generalize the projected Jacobi and the projected Gauss–Seidel methods
to vertical linear complementarity problems (VLCPs) characterized by matrices with positive …