Journal of Applied Mathematics
Volume 2012 (2012), Article ID 256930, 9 pages
Research Article

On the Strong Convergence of an Algorithm about Firmly Pseudo-Demicontractive Mappings for the Split Common Fixed-Point Problem

Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China

Received 26 January 2012; Accepted 16 February 2012

Academic Editor: Yonghong Yao

Copyright © 2012 Yanrong Yu and Delei Sheng. 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.


Based on the recent work by Censor and Segal (2009 J. Convex Anal.16), and inspired by Moudafi (2010 Inverse Problems 26), we modify the algorithm of demicontractive operators proposed by Moudafi and study the modified algorithm for the class of firmly pseudodemicontractive operators to solve the split common fixed-point problem in a Hilbert space. We also give the strong convergence theorem under some appropriate conditions. Our work improves and/or develops the work of Moudafi, Censor and Segal, and other results.