A general alternative regularization method with line search technique for solving split equilibrium and fixed point problems in Hilbert spaces

Lateef Olakunle Jolaoso*, Ibrahim Karahan

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

In this paper, we introduce a new general alternative regularization algorithm for solving split equilibrium and fixed point problems in real Hilbert spaces. The proposed method does not require a prior estimate of the norm of the bounded linear operator nor a fixed stepsize for its convergence. Instead, we employ a line search technique and prove a strong convergence result for the sequence generated by the algorithm. A numerical experiment is given to show that the proposed method converges faster in terms of number of iteration and CPU time of computation than some existing methods in the literature.

Original languageEnglish
Article number150
JournalComputational and Applied Mathematics
Volume39
Issue number3
DOIs
Publication statusPublished - 1 Sep 2020

Keywords

  • Fixed point problem
  • General alternative method
  • Line search rule
  • Split equilibrium problem

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