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- ItemAlternative iterative methods for nonexpansive mappings, rates of convergence and applications(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2009) Colao, Vittorio; Laurent¸iu Leu¸stean, Laurent¸iu Leu¸stean; Genaro L´opez, Genaro L´opez; Mart´ın-M´arquez, VictoriaAlternative 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.