2009, Colao, Vittorio, Laurent¸iu Leu¸stean, Laurent¸iu Leu¸stean, Genaro L´opez, Genaro L´opez, Mart´ın-M´arquez, Victoria

Alternative iterative methods for a nonexpansive mapping in a Banach space are proposed and proved to be convergent to a common solution to a fixed point problem and a variational inequality. We give rates of asymptotic regularity for such iterations using proof-theoretic techniques. Some applications of the convergence results are presented.