INERTIAL EXTRAPOLATION METHOD WITH REGULARIZATION FOR SOLVING MONOTONE BILEVEL VARIATION INEQUALITIES AND FIXED POINT PROBLEMS

Francis Akutsah, Akindele Adebayo Mebawondu*, Godwin Chidi Ugwunnadi, Ojen Kumar Narain

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The purpose of this paper is to introduce a generalized inertial extrapolation iterative method with regularization for approximating a solution of monotone and Lipschitz variational inequality and fixed point problems. In real Hilbert spaces, the strong convergence of the iterative method is obtained under certain conditions imposed on regularization parameters. Some numerical experiments are provided to show the efficiency and applicability of the proposed method.

Original languageEnglish
Article number5
JournalJournal of Nonlinear Functional Analysis
Volume2022
DOIs
Publication statusPublished - 2022
Externally publishedYes

Keywords

  • Bilevel variational inequality
  • Fixed point
  • Inertial iterative scheme
  • Nonexpansive mapping

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