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Bull. Korean Math. Soc. 2014; 51(5): 1527-1538

Printed September 30, 2014

https://doi.org/10.4134/BKMS.2014.51.5.1527

Copyright © The Korean Mathematical Society.

A cyclic and simultaneous iterative algorithm for the multiple split common fixed point problem of demicontractive mappings

Yu-Chao Tang, Ji-Gen Peng, and Li-Wei Liu

Xi'an Jiaotong University, Xi'an Jiaotong University, NanChang University

Abstract

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The purpose of this paper is to address the multiple split common fixed point problem. We present two different methods to approximate a solution of the problem. One is cyclic iteration method; the other is simultaneous iteration method. Under appropriate assumptions on the operators and iterative parameters, we prove both the proposed algorithms converge to the solution of the multiple split common fixed point problem. Our results generalize and improve some known results in the literatures.

Keywords: demicontractive mappings, cyclic, simultaneous, split common fixed point

MSC numbers: 49J53, 65K10

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