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Abstract and Applied Analysis
Volume 2014, Article ID 350479, 8 pages
Research Article

A Strong Convergence Algorithm for the Two-Operator Split Common Fixed Point Problem in Hilbert Spaces

1Department of Industrial Management, National Pingtung University of Science and Technology, Pingtung 91201, Taiwan
2Department of Accounting Information, Southern Taiwan University of Science and Technology, Tainan 71005, Taiwan

Received 27 February 2014; Accepted 13 June 2014; Published 6 July 2014

Academic Editor: Qing-bang Zhang

Copyright © 2014 Chung-Chien Hong and Young-Ye Huang. 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.


The two-operator split common fixed point problem (two-operator SCFP) with firmly nonexpansive mappings is investigated in this paper. This problem covers the problems of split feasibility, convex feasibility, and equilibrium and can especially be used to model significant image recovery problems such as the intensity-modulated radiation therapy, computed tomography, and the sensor network. An iterative scheme is presented to approximate the minimum norm solution of the two-operator SCFP problem. The performance of the presented algorithm is compared with that of the last algorithm for the two-operator SCFP and the advantage of the presented algorithm is shown through the numerical result.