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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 386930, 5 pages
Research Article

Inertial Iteration for Split Common Fixed-Point Problem for Quasi-Nonexpansive Operators

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

Received 14 March 2013; Accepted 6 May 2013

Academic Editor: Ru Dong Chen

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.


Inspired by the note on split common fixed-point problem for quasi-nonexpansive operators presented by Moudafi (2011), based on the very recent work by Dang et al. (2012), in this paper, we propose an inertial iterative algorithm for solving the split common fixed-point problem for quasi-nonexpansive operators in the Hilbert space. We also prove the asymptotical convergence of the algorithm under some suitable conditions. The results improve and develop previously discussed feasibility problems and related algorithms.