Some New Algorithms for Solving a System of General 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
Awais Gul Khan, Mathematics Department, Government College University, Faisalabad, Pakistan.Follow
Rafia Latif, Mathematics Department, COMSATS Institute of Information Technology, Park Road, Islamabad, Pakistan.Follow

Author Country (or Countries)

Pakistan.

Abstract

In this paper, we consider a new system of extended general variational inequalities involving six nonlinear operators. Using projection operator technique, we show that system of extended general variational inequalities is equivalent to a system of fixed point problems. Using this alternative equivalent formulation, some Gauss-Seidel type algorithms for solving a system of extended general variational inequalities are suggested and investigated. Convergence of these new methods is considered under some suitable conditions. Several special cases are discussed. Results obtained in this paper continue to hold for these problems. The ideas and techniques of this paper may stimulate further research in this field.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100216

Recommended Citation

Aslam Noor, Muhammad; Inayat Noor, Khalida; Gul Khan, Awais; and Latif, Rafia (2016) "Some New Algorithms for Solving a System of General Variational Inequalities," Applied Mathematics & Information Sciences: Vol. 10: Iss. 2, Article 16.
DOI: http://dx.doi.org/10.18576/amis/100216
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss2/16