Alternative iterative methods for nonexpansive mappings, rates of convergence and applications

  • Vittorio Colaoa, Laurenţiu Leuşteanb, Genaro Lópezd, Victoria Mart́ın-Márquezd
  • Published 2009

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 this paper

@inproceedings{Colaoa2009AlternativeIM, title={Alternative iterative methods for nonexpansive mappings, rates of convergence and applications}, author={Vittorio Colaoa and Laurenţiu Leuşteanb and Genaro L{\'o}pezd and Victoria Mart́ın-M{\'a}rquezd}, year={2009} }