BREGMAN SUBGRADIENT EXTRAGRADIENT METHOD WITH MONOTONE SELF-ADJUSTMENT STEPSIZE FOR SOLVING PSEUDO-MONOTONE VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS

Lateef Olakunle Jolaoso*, Maggie Aphane

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

Using the concept of Bregman divergence, we propose a new sub-gradient extragradient method for approximating a common solution of pseudo-monotone and Lipschitz continuous variational inequalities and fixed pointproblem in real Hilbert spaces. The algorithm uses a new self-adjustmentrule for selecting the stepsize in each iteration and also, we prove a strongconvergence result for the sequence generated by the algorithm without priorknowledge of the Lipschitz constant.

Original languageEnglish
Pages (from-to)773-794
Number of pages22
JournalJournal of Industrial and Management Optimization
Volume18
Issue number2
DOIs
Publication statusPublished - Mar 2022

Keywords

  • Bregman divergence
  • Extragradient
  • Fixed point
  • Self adjustment step-size
  • Subgradient
  • Variational inequalites

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