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

Tomonari Suzuki

 Department of Mathematics, Kyushu Institute of Technology, 1-1 Sensuicho, Tobataku, Kitakyushu 804-8550, Japan
Received 2 June 2004

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.