Strong Convergence of an Iterative Method with Perturbed Mappings for Nonexpansive and Accretive Operators
Lu-Chuan Ceng, Hong‐Kun Xu, Jen‐Chih Yao · Numerical Functional Analysis and Optimization · 2008
A new iterative method for finding a zero of m-accretive operators is proposed. This method, involving a so-called perturbed mapping, provides a way to construct sunny nonexpansive retractions. Several strong convergence theorems for this method are established in a Banach space that is either uniformly smooth or reflexive with a weakly continuous duality map.