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In their recent paper (Math. Model. Anal., 17(4):457-466, 2012), Tang, Peng and Liu proposed a cyclic algorithm for solving the split common fixed point problem and established its weak convergence under some certain conditions. In this paper, we shall present a simple proof of such a result and moreover we shall remove one condition, continuity of the mapping involved, ensuring the convergence of the algorithm. © Vilnius Gediminas Technical University, 2013.

CONVERGENCE OF A CYCLIC ALGORITHM FOR THE SPLIT COMMON FIXED POINT PROBLEM WITHOUT CONTINUITY ASSUMPTION