Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (6): 1115-1126.

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Three Kinds of Iterative Algorithms for Solving the Constrained Split Common Fixed Point Problem in Hilbert Spaces

Liu Yuanxing1, Zhou Haiyun2,3, Wang Peiyuan2,4,5, Zhou Yu2,6   

  1. 1 School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061;
    2 Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003;
    3 College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024;
    4 Postdoctoral Workstation, Naval Equipment Institute, Beijing 102249;
    5 Naval Aviation Institution, Liaoning Huludao 125001;
    6 Military Strategy Research Center, Shijiazhuang Army Command College, Shijiazhuang 050000
  • Received:2015-03-19 Revised:2015-08-23 Online:2015-12-25 Published:2015-12-25

Abstract:

The purpose of this paper is to study the constrained split common fixed point problem. We suggest and analyze three kinds of iterative algorithms for solving the problem. Several strong convergence theorems have been established, which improve and extend the related results obtained by some authors.

Key words: Constrained split common fixed point problem, Nonexpansive mapping, Iterative algorithm, Strong convergence

CLC Number: 

  • O177.91
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