... some fixed point x∗∈ C, which is the unique solution in Cfor the variational inequality VI∗F, C.Proof. Existence and uniqueness of the solution of VI∗F, C is obtained from Theorem 3.2.Weclaim ... prove the strong convergence of 1.8,1.9 ,and 1.10 to the unique solution of the variational inequality Fx∗,Jx − x∗≥0inC,where J is the single-valued normalized duality mapping from ... X into 2X∗.Our main purpose is to improve some of the conditions and results in the mentionedpapers, especially those of Song and Xu 11.2. PreliminariesLet S : {x ∈ X : x 1} be the...