Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand
Copyright © 2009 Somyot Plubtieng and Wanna Sriprad. 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 and weak convergence theorems for a new resolvent of maximal monotone operators in a Banach space and give an estimate of the convergence rate of the algorithm. Finally, we apply our convergence theorem to the convex minimization problem. The result present in this paper extend
and improve the corresponding result of Ibaraki and Takahashi (2007), and Kim and Xu (2005).