Quantitative asymptotic regularity of the VAM iteration with error terms for m-accretive operators in Banach spaces

Abstract

In this paper we obtain, by using proof mining methods, quantitative results on the asymptotic regularity of the viscosity approximation method (VAM) with error terms for m-accretive operators in Banach spaces. For concrete instances of the parameter sequences, linear rates are computed by applying a lemma due to Sabach and Shtern.