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Convergence of a cyclic algorithm for the split common fixed point problem without continuity assumption

    Fenghui Wang Affiliation
    ; Huanhuan Cui Affiliation

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.

Keyword : directed mapping, split common fixed point problem, demicontractive mapping

How to Cite
Wang, F., & Cui, H. (2013). Convergence of a cyclic algorithm for the split common fixed point problem without continuity assumption. Mathematical Modelling and Analysis, 18(4), 537-542. https://doi.org/10.3846/13926292.2013.839963
Published in Issue
Sep 1, 2013
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