Dynamical technique for split common fixed point problem in Banach spaces

Godwin Chidi Ugwunnadi*, Chinedu Izuchukwu, Abdul Rahim Khan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We study the split common fixed point problem for Bregman demigeneralized type mappings in the context of two real Banach spaces. We propose a new self-adaptive method and prove that it converges strongly to a solution of this problem. As consequences of our results, we propose some new self-adaptive methods for solving split feasibility problem, split common null point problem and split equilibrium problem, using some dynamical stepsize techniques, which allow these methods to be easily implemented without prior knowledge of the norm of the bounded linear operator. We perform some numerical experiments to demonstrate implementation and efficiency of our methods.

Original languageEnglish
Article number162
JournalComputational and Applied Mathematics
Issue number4
Publication statusPublished - Jun 2022
Externally publishedYes


  • Bregman demigeneralized map
  • Bregman distance
  • Dynamical stepsize method
  • Split common fixed-point problem
  • Split equilibrium problem
  • Split feasibility problem


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