Fixed Point Theory and Applications 
Volume 2005 (2005), Issue 1, Pages 93-102
doi:10.1155/FPTA.2005.93

Approximating zero points of accretive operators with compact domains in general Banach spaces

Hiromichi Miyake and Wataru Takahashi

 Department of Mathematical and Computing Sciences, Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Okayama 2-12-1,Meguro-ku, Tokyo 152-8552, Japan
Received 2 July 2004

Abstract

We prove strong convergence theorems of Mann's type and Halpern's type for resolvents of accretive operators with compact domains and apply these results to find fixed points of nonexpansive mappings in Banach spaces.