Journal of Optimization Theory and Applications

, Volume 102, Issue 1, pp 193–201

Tikhonov Regularization Methods for Variational Inequality Problems

  • H. D. Qi
Article

DOI: 10.1023/A:1021802830910

Cite this article as:
Qi, H.D. Journal of Optimization Theory and Applications (1999) 102: 193. doi:10.1023/A:1021802830910

Abstract

Motivated by the work of Facchinei and Kanzow (Ref. 1) on regularization methods for the nonlinear complementarity problem and the work of Ravindran and Gowda (Ref. 2) for the box variational inequality problem, we study regularization methods for the general variational inequality problem. A sufficient condition is given which guarantees that the union of the solution sets of the regularized problems is nonempty and bounded. It is shown that solutions of the regularized problems form a minimizing sequence of the D-gap function under a mild condition.

Variational inequality problemsregularization methodsminimizing sequences

Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • H. D. Qi
    • 1
  1. 1.Institute of Computational Mathematics and Scientific/Engineering ComputingChinese Academy of SciencesBeijingChina