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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 638468, 5 pages
http://dx.doi.org/10.1155/2013/638468
Research Article

Weak and Strong Convergence of an Algorithm for the Split Common Fixed-Point of Asymptotically Quasi-Nonexpansive Operators

1School of Management, University of Shanghai for Science and Technology, Shanghai 200093, China
2Henan Polytechnic University, Jiaozuo 454000, China

Received 28 June 2013; Revised 10 October 2013; Accepted 24 October 2013

Academic Editor: Joao B. R. Do Val

Copyright © 2013 Yazheng Dang and Yan Gao. 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

Inspired by the Moudafi (2010), we propose an algorithm for solving the split common fixed-point problem for a wide class of asymptotically quasi-nonexpansive operators and the weak and strong convergence of the algorithm are shown under some suitable conditions in Hilbert spaces. The algorithm and its convergence results improve and develop previous results for split feasibility problems.