An explicit iterative method for solving the variational inequalities on Hadamard manifold is suggested and analyzed 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.
"Explicit Iterative Method for Variational Inequalities on Hadamard Manifolds." J. Appl. Math. 2012 (SI03) 1 - 8, 2012. https://doi.org/10.1155/2012/691806