Auxiliary Principle Technique for Variational Inequalities

Authors

Muhammad Aslam Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow
Khalida Inayat Noor, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow

Author Country (or Countries)

Pakistan.

Abstract

In this paper, some implicit type methods for solving general variational inequalities are suggested and investigated using the auxiliary principle technique. It is shown that the convergence of the implicit method requires only the g-pseudomonotonicity, which is a weaker condition than g-monotonicity. Our results can be viewed as important refinement and improvement of the known results. The technique and ideas of this paper may be extended for other classes of variational inequalities and related optimization problems. Some special cases are also discussed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/110119

Recommended Citation

Aslam Noor, Muhammad and Inayat Noor, Khalida (2017) "Auxiliary Principle Technique for Variational Inequalities," Applied Mathematics & Information Sciences: Vol. 11: Iss. 1, Article 19.
DOI: http://dx.doi.org/10.18576/amis/110119
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss1/19