An efficient parallel extragradient method for systems of variational inequalities involving fixed points of demicontractive mappings

Lateef Olakunle Jolaoso*, Maggie Aphane

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Herein, we present a new parallel extragradient method for solving systems of variational inequalities and common fixed point problems for demicontractive mappings in real Hilbert spaces. The algorithm determines the next iterate by computing a computationally inexpensive projection onto a sub-level set which is constructed using a convex combination of finite functions and an Armijo line-search procedure. A strong convergence result is proved without the need for the assumption of Lipschitz continuity on the cost operators of the variational inequalities. Finally, some numerical experiments are performed to illustrate the performance of the proposed method.

Original languageEnglish
Article number1915
Pages (from-to)1-22
Number of pages22
JournalSymmetry
Volume12
Issue number11
DOIs
Publication statusPublished - Nov 2020

Keywords

  • Common fixed point
  • Common solution
  • Demicontractive
  • Extragradient method
  • Pseudomonotone
  • Variational inequalities

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