Open Access

Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces

Fixed Point Theory and Applications20052005:685918

DOI: 10.1155/FPTA.2005.103

Received: 2 June 2004

Published: 28 April 2005

Abstract

In 1979, Ishikawa proved a strong convergence theorem for finite families of nonexpansive mappings in general Banach spaces. Motivated by Ishikawa's result, we prove strong convergence theorems for infinite families of nonexpansive mappings.

Authors’ Affiliations

(1)
Department of Mathematics, Kyushu Institute of Technology

Copyright

© Suzuki 2005