... ApplicationsVolume 2011, Article ID 620284, 17 pagesdoi:10.1155/2011/620284 Research Article Iterative Methods for Variational Inequalitiesover the Intersection of the Fixed Points Set of a Nonexpansive ... ty−xt,2.1exists for each x, y ∈ S,andX is said to have a uniformly Gateaux differentiable norm if for eachy ∈ S, the limit 2.1 converges uniformly for x ∈ S. Further, X is said to be uniformly smoothif ... x for x ∈ X,ii Tt sx TtTsx for t, s > 0andx ∈ X,Fixed Point Theory and Applications 7Proof. We divide the proof into several steps.Step 1. We first prove the uniqueness of...