2009/05/29 by Colao, Vittorio, Leustean, Laurentiu, Lopez, Genaro +1
#03F60 #47H06 #47H09 #47H10 #47J20 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.0905.4836
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.