Journal of Applied Mathematics and Stochastic Analysis
Volume 2006 (2006), Article ID 56704, 6 pages
doi:10.1155/JAMSA/2006/56704
A remark on recent results for finding zeroes of
accretive operators
Département Scientifique Interfacultaire, Université des Antilles et de la Guyane, BP 7209, Schoelcher 97275, France
Received 28 June 2005; Revised 17 October 2005; Accepted 18 October 2005
Copyright © 2006 Abdellatif Moudafi. 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.
Abstract
By means of the Yosida approximate of an accretive operator, we
extended two recent results by Chidume and Chidume and
Zegeye (2003) to set-valued operators, and we made the
connection with two recent convergence results obtained by
Benavides etal for a relaxed version of the so-called
proximal point algorithm.