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Journal of Function Spaces
Volume 2017, Article ID 5306802, 11 pages
Research Article

Weak and Strong Convergence Theorems for the Multiple-Set Split Equality Common Fixed-Point Problems of Demicontractive Mappings

1Department of Mathematics, Shaoxing University, Shaoxing 312000, China
2Department of Applied Mathematics, College of Natural Sciences, Pukyong National University, Busan 48513, Republic of Korea

Correspondence should be addressed to Tae-Hwa Kim;

Received 29 March 2017; Accepted 19 October 2017; Published 24 December 2017

Academic Editor: Xinguang Zhang

Copyright © 2017 Yaqin Wang et al. 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.


We consider mixed parallel and cyclic iterative algorithms in this paper to solve the multiple-set split equality common fixed-point problem which is a generalization of the split equality problem and the split feasibility problem for the demicontractive mappings without prior knowledge of operator norms in real Hilbert spaces. Some weak and strong convergence results are established. The results obtained in this paper generalize and improve the recent ones announced by many others.