Fixed Point Theory and Applications
Volume 2005 (2005), Issue 1, Pages 93-102
Approximating zero points of accretive operators with compact domains in general Banach spaces
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
Copyright © 2005 Hiromichi Miyake and Wataru Takahashi. 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.
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.