Alternative iterative methods for nonexpansive mappings, rates of convergence and application
Vittorio Colao, Laurenţiu Leuştean, Genaro López-Acedo, Victoria Martín-Márquez · arXiv (Cornell University) · 2009
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.