Journal of Optimization Theory and Applications

, 143:619

Implicit Iterative Methods for Nonconvex Variational Inequalities

Technical Note

DOI: 10.1007/s10957-009-9567-7

Cite this article as:
Noor, M.A. J Optim Theory Appl (2009) 143: 619. doi:10.1007/s10957-009-9567-7


In this paper, we suggest and analyze an implicit iterative method for solving nonconvex variational inequalities using the technique of the projection operator. We also discuss the convergence of the iterative method under suitable weaker conditions. Our method of proof is very simple as compared with other techniques.


Variational inequalitiesNonconvex setsMonotone operatorsIterative methodConvergence

Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Mathematics DepartmentCOMSATS Institute of Information TechnologyIslamabadPakistan