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Article

Convergence of a Cyclic Algorithm for the Split Common Fixed Point Problem Without Continuity Assumption

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Pages 537-542 | Received 12 Sep 2012, Published online: 02 Oct 2013
 

Abstract

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.

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