Advances in Operations Research
Volume 2012 (2012), Article ID 483479, 17 pages
Research Article

Modified Halfspace-Relaxation Projection Methods for Solving the Split Feasibility Problem

School of Economics and Management, Southeast University, Nanjing 210096, China

Received 24 March 2012; Accepted 11 May 2012

Academic Editor: Abdellah Bnouhachem

Copyright © 2012 Min Li. 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.


This paper presents modified halfspace-relaxation projection (HRP) methods for solving the split feasibility problem (SFP). Incorporating with the techniques of identifying the optimal step length with positive lower bounds, the new methods improve the efficiencies of the HRP method (Qu and Xiu (2008)). Some numerical results are reported to verify the computational preference.