Open Access

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

Fixed Point Theory and Applications20052005:926890

DOI: 10.1155/FPTA.2005.93

Received: 2 July 2004

Published: 28 April 2005

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.

Authors’ Affiliations

(1)
Department of Mathematical and Computing Sciences, Graduate School of Information Science and Engineering, Tokyo Institute of Technology

Copyright

© Miyake and Takahashi 2005