Fixed Point Theory and Applications
Volume 2005 (2005), Issue 1, Pages 103-123
doi:10.1155/FPTA.2005.103
Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
Department of Mathematics, Kyushu Institute of Technology, 1-1 Sensuicho, Tobataku, Kitakyushu 804-8550, Japan
Received 2 June 2004
Copyright © 2005 Tomonari Suzuki. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.