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

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.