An algorithmic approach to solving split common fixed point problems for families of demicontractive operators in Hilbert spaces

H. A. Abass*, M. Aphane

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, we propose a new iterative algorithm for solving split common fixed point problems for finite families of single-valued demicontractive mappings in the setting of real Hilbert spaces. In order to solve this problem, we introduce a Halpern method with with an Armijo-line search for approximating the solution of the aforementioned problems. We establish a strong convergence result of the proposed method and display some numerical examples to illustrate the performance of our main result. Our result complements and generalizes some related results in literature.

Original languageEnglish
Pages (from-to)119-134
Number of pages16
JournalBolletino dell Unione Matematica Italiana
Volume17
Issue number1
DOIs
Publication statusPublished - Mar 2024
Externally publishedYes

Keywords

  • Demicontractive mapping
  • Hilbert spaces
  • Single-valued mapping
  • Split common fixed point

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