Open Access Research Article

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

Tomonari Suzuki

Author Affiliations

Department of Mathematics, Kyushu Institute of Technology, 1-1 Sensuicho, Tobataku, Kitakyushu 804-8550, Japan

Fixed Point Theory and Applications 2005, 2005:685918  doi:10.1155/FPTA.2005.103


The electronic version of this article is the complete one and can be found online at: http://www.fixedpointtheoryandapplications.com/content/2005/1/685918


Received:2 June 2004
Published:28 April 2005

© 2005 Suzuki

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.

Research Article