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.
Aslam Noor, Muhammad and Inayat Noor, Khalida
"Two-Step Methods for Variational Inequalities on Hadamard Manifolds,"
Applied Mathematics & Information Sciences: Vol. 09
, Article 24.
Available at: https://dc.naturalspublishing.com/amis/vol09/iss4/24