A cyclic and simultaneous iterative algorithm for the multiple split common fixed point problem of demicontractive mappings
Bull. Korean Math. Soc. 2014 Vol. 51, No. 5, 1527-1538
https://doi.org/10.4134/BKMS.2014.51.5.1527
Printed September 30, 2014
Yu-Chao Tang, Ji-Gen Peng, and Li-Wei Liu
Xi'an Jiaotong University, Xi'an Jiaotong University, NanChang University
Abstract : 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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