Iterative approximation of common solution to variational inequality problems in Hadamard manifold

Olawale K. Oyewole, Hammed A. Abass, Yekini Shehu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The aim of this paper is to introduce a forward-backward-forward algorithm with inertial extrapolation to solve the problem of finding a common solution to the variational inequality problem (CSVIP) in a Hadamard manifold. Using a self-adaptive step size, we obtain convergence results under some standard conditions. Numerical examples are given to illustrate the theoretical analysis. Our result is a generalization and extension of previously announced results in this direction in the literature.

Original languageEnglish
JournalApplicable Analysis
DOIs
Publication statusPublished - 2024
Externally publishedYes

Keywords

  • Hadamard manifold
  • Variational inequality
  • forward-backward-forward algorithm
  • inertial extrapolation

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