This paper is concerned with some new projection methods for solving variational inequality
problems with monotone and Lipschitz-continuous map** in Hilbert space. First, we …

This book provides a solid foundation and an extensive study for an important class of
constrained optimization problems known as Mathematical Programs with Equilibrium …

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

We propose a new projection algorithm for solving the variational inequality problem, where
the underlying function is continuous and satisfies a certain generalized monotonicity …

This paper presents convergence analysis of some algorithms for solving systems of
nonlinear equations defined by locally Lipschitzian functions. For the directional derivative …

The PATH solver is an implementation of a stabilized Newton method for the solution of the
Mixed Complementarity Problem. The stabilization scheme employs a path-generation …

Originated from the practical implementation and numerical considerations of iterative
methods for solving mathematical programs, the study of error bounds has grown and …

We propose a class of parametric smooth functions that approximate the fundamental plus
function,(x)+= max {0, x}, by twice integrating a probability density function. This leads to …

Support vector machine (SVM) active learning is one popular and successful technique for
relevance feedback in content-based image retrieval (CBIR). Despite the success …

In this paper we present a new algorithm for the solution of nonlinear complementarity
problems. The algorithm is based on a semismooth equation reformulation of the …