Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2013 (2013), Article ID 347401, 5 pages
http://dx.doi.org/10.1155/2013/347401
Research Article

On Two Projection Algorithms for the Multiple-Sets Split Feasibility Problem

College of Science, Civil Aviation University of China, Tianjin 300300, China

Received 15 July 2013; Accepted 27 November 2013

Academic Editor: Livija Cveticanin

Copyright © 2013 Qiao-Li Dong and Songnian He. 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

We present a projection algorithm which modifies the method proposed by Censor and Elfving (1994) and also introduce a self-adaptive algorithm for the multiple-sets split feasibility problem (MSFP). The global rates of convergence are firstly investigated and the sequences generated by two algorithms are proved to converge to a solution of the MSFP. The efficiency of the proposed algorithms is illustrated by some numerical tests.