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A self-adaptive iterative algorithm for the split common fixed point problems

  • Jing Zhao
  • Dingfang Hou
Original Paper
  • 14 Downloads

Abstract

In this paper, we use the dual variable to propose a self-adaptive iterative algorithm for solving the split common fixed point problems of averaged mappings in real Hilbert spaces. Under suitable conditions, we get the weak convergence of the proposed algorithm and give applications in the split feasibility problem and the split equality problem. Some numerical experiments are given to illustrate the efficiency of the proposed iterative algorithm. Our results improve and extend the corresponding results announced by many others.

Keywords

Split common fixed-point problem Iterative algorithm Dual variable Averaged mapping Weak convergence Hilbert space 

Mathematics Subject Classification (2010)

47H09 47H10 47J05 54H25 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of ScienceCivil Aviation University of ChinaTianjinChina

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