Equivalence of complementarity problems to differentiable minimization: A unified approach

P Tseng, N Yamashita, M Fukushima - SIAM Journal on Optimization, 1996 - SIAM
… We consider two merit functions for a generalized nonlinear complementarity problem (GNCP)
based on quadratic regularization of the standard linearized gap function. The first …

Equivalence of the generalized complementarity problem to differentiable unconstrained minimization

C Kanzow, M Fukushima - Journal of Optimization Theory and Applications, 1996 - Springer
… We consider an unconstrained minimization reformulation of the generalized complementarity
problem (GCP). The merit function introduced here is differentiable and has the property …

[BOOK][B] The linear complementarity problem

RW Cottle, JS Pang, RE Stone - 2009 - SIAM
… On the equivalence of the linear complementarity problem and a system of piecewise
linear … A unified approach to complementarity in optimization, Discrete Mathematics 7, 225-271. …

An application of H-differentiability to nonnegative and unrestricted generalized complementarity problems

MA Tawhid - Computational Optimization and Applications, 2008 - Springer
… Our results are generalizations of such results for nonlinear complementarity problem when
Equivalence of complementarity problems to differentiable minimization: a unified approach

Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems

M Fukushima - Mathematical programming, 1992 - Springer
problem, We discuss descent methods for solving the equivalent optimization problem
and comment on systems of nonlinear equations and nonlinear complementarity problems. …

Equivalence of complementarity problems to differentiable minimization: A unified approach

M Fukushima, P Tseng, N Yamashita - 1994 - osti.gov
… for a generalized nonlinear complementarity problem (GNCP for short) … problems and the
second extends Mangasarian and Solodov`s implicit Lagrangian for complementarity problems

Equivalence of variational inequality problems to unconstrained minimization

JM Peng - Mathematical Programming, 1997 - Springer
… ,10,12] from complementarity problems to variational inequality problems, but also present a
Equivalence of complementarity problems to differentiable minimization: A unified approach

On the resolution of monotone complementarity problems

C Geiger, C Kanzow - Computational Optimization and Applications, 1996 - Springer
… ((6) and (2)) are only once continuously differentiable, it is in general not … equivalent to the
complementarity problem for monotone functions F. Since several complementarity problems

On the resolution of the generalized nonlinear complementarity problem

R Andreani, A Friedlander, SA Santos - SIAM Journal on Optimization, 2002 - SIAM
… the GNCP as an equivalent boundconstrained smooth optimization problem. Differentiable
bound-constrained … minimization: A unified approach, SIAM J. Optim., 6 (1996), pp. 446–460. …

Merit functions for variational inequality and complementarity problems

M Fukushima - Nonlinear Optimization and Applications, 1996 - Springer
… Thus we cannot in general expect that the gap function 9 is differentiable everywhere. Since
… "Equivalence of complementarity problems to differentiable minimization: A unified approach