Alternative iterative methods for nonexpansive mappings, rates of convergence and application
Functional Analysis
2009-06-01 v1
Abstract
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.
Cite
@article{arxiv.0905.4836,
title = {Alternative iterative methods for nonexpansive mappings, rates of convergence and application},
author = {Vittorio Colao and Laurentiu Leustean and Genaro Lopez and Victoria Martin-Marquez},
journal= {arXiv preprint arXiv:0905.4836},
year = {2009}
}