Two-Step Methods for Variational Inequalities on Hadamard Manifolds

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, we suggest and analyze a two-step method for solving the variational inequalities on Hadamard manifold using the auxiliary principle technique. The convergence of this new method requires only the partially relaxed strongly monotonicity, which is a weaker condition than monotonicity. Results can be viewed as refinement and improvement of previously known results.

Recommended Citation

Aslam Noor, Muhammad and Inayat Noor, Khalida (2015) "Two-Step Methods for Variational Inequalities on Hadamard Manifolds," Applied Mathematics & Information Sciences: Vol. 09: Iss. 4, Article 24.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss4/24