Abstract and Applied Analysis
Volume 2012 (2012), Article ID 876069, 8 pages
http://dx.doi.org/10.1155/2012/876069
Research Article

A Modified Halpern's Iterative Scheme for Solving Split Feasibility Problems

Jitsupa Deepho and Poom Kumam

Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand

Received 4 May 2012; Accepted 13 September 2012

Academic Editor: Hong-Kun Xu

Copyright © 2012 Jitsupa Deepho and Poom Kumam. 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

The purpose of this paper is to introduce and study a modified Halpern’s iterative scheme for solving the split feasibility problem (SFP) in the setting of infinite-dimensional Hilbert spaces. Under suitable conditions a strong convergence theorem is established. The main result presented in this paper improves and extends some recent results done by Xu (Iterative methods for the split feasibility problem in infinite-dimensional Hilbert space, Inverse Problem 26 (2010) 105018) and some others.