# A CYCLIC AND SIMULTANEOUS ITERATIVE ALGORITHM FOR THE MULTIPLE SPLIT COMMON FIXED POINT PROBLEM OF DEMICONTRACTIVE MAPPINGS

• Tang, Yu-Chao (Department of Mathematics NanChang University, School of Mathematics and Statistics Xi'an Jiaotong University) ;
• Peng, Ji-Gen (School of Mathematics and Statistics Xi'an Jiaotong University) ;
• Liu, Li-Wei (Department of Mathematics NanChang University)
• Published : 2014.09.30

#### 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.

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#### Cited by

1. The split common fixed point problem for multivalued demicontractive mappings and its applications pp.1579-1505, 2018, https://doi.org/10.1007/s13398-018-0496-x