... Theory and ApplicationsVolume 2010, Article ID 765206, 11 pagesdoi:10.1155/2010/765206Research Article Regularization and Iterative Methods for Monotone Variational InequalitiesXiubin Xu1 and ... x∗≥0, ∀x ∈ C. 4.3Therefore, applying Theorems 2.2 and 3.1, we get the following result.Theorem 4.1. Assume the Lipschitz continuity 4.2 for the gradient ∇ϕ.a For ε ∈ 0, 1,letxε∈ C ... North-Holland, Amsterdam, The Netherlands, 2001.26 F. E. Browder, “Convergence of approximants to fixed points of nonexpansive non-linear mappingsin Banach spaces,” Archive for Rational Mechanics and...