A parallel hybrid bregman subgradient extragradient method for a system of pseudomonotone equilibrium and fixed point problems

Annel Thembinkosi Bokodisa, Lateef Olakunle Jolaoso*, Maggie Aphane

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We introduce a new parallel hybrid subgradient extragradient method for solving the system of the pseudomonotone equilibrium problem and common fixed point problem in real reflexive Banach spaces. The algorithm is designed such that its convergence does not require prior estimation of the Lipschitz-like constants of the finite bifunctions underlying the equilibrium problems. Moreover, a strong convergence result is proven without imposing strong conditions on the control sequences. We further provide some numerical experiments to illustrate the performance of the proposed algorithm and compare with some existing methods.

Original languageEnglish
Article number216
Pages (from-to)1-24
Number of pages24
JournalSymmetry
Volume13
Issue number2
DOIs
Publication statusPublished - Feb 2021

Keywords

  • Bregman distance
  • Bregman nonexpansive mappings
  • Equilibrium problem
  • Fixed point problem
  • Pseudomonotone
  • Real reflexive Banach spaces

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