Convergence of a cyclic algorithm for the split common fixed point problem without continuity assumption
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.
Keywords:
directed mapping, split common fixed point problem, demicontractive mappingHow to Cite
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Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2013 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.