A regularized projection method for complementarity problems with non-Lipschitzian functions

DOI10.1090/S0025-5718-07-02025-XzbMath1171.90015OpenAlexW2096298413MaRDI QIDQ5429505

Xiaojun Chen, G. E. Alefeld

Publication date: 30 November 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-07-02025-x

zbMATH Keywords

regularizationerror boundsprojectioncomplementarity problemsnon-Lipschitzian continuity

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Algorithms with automatic result verification (65G20)

Related Items (11)

Bounding the error for approximate solutions of almost linear complementarity problems using feasible vectors ⋮ A fixed-point method for a class of super-large scale nonlinear complementarity problems ⋮ Error bound results for generalized D-gap functions of nonsmooth variational inequality problems ⋮ A full-Newton step non-interior continuation algorithm for a class of complementarity problems ⋮ Optimal correction of infeasible equations system as Ax + B|x|= b using ℓ p-norm regularization ⋮ An algorithm for a class of nonlinear complementarity problems with non-Lipschitzian functions ⋮ Smoothing methods for nonsmooth, nonconvex minimization ⋮ A Finite Algorithm for Almost Linear Complementarity Problems ⋮ An accelerated monotonic convergent algorithm for a class of non-Lipschitzian NCP\((F)\) involving an \(M\)-matrix ⋮ Components identification based method for box constrained variational inequality problems with almost linear functions ⋮ Computation of generalized differentials in nonlinear complementarity problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite element approximation of a model reaction-diffusion problem with a non-Lipschitz nonlinearity
• Error bounds in mathematical programming
• Numerical validation of solutions of complementarity problems: the nonlinear case
• Computation of error bounds for P-matrix linear complementarity problems
• AN ENCLOSURE METHOD FOR FREE BOUNDARY PROBLEMS BASED ON A LINEAR COMPLEMENTARITY PROBLEM WITH INTERVAL DATA^*
• An Infeasible Path-Following Method for Monotone Complementarity Problems
• Finite-Dimensional Variational Inequalities and Complementarity Problems

This page was built for publication: A regularized projection method for complementarity problems with non-Lipschitzian functions