Inertial-like Bregman projection method for solving systems of variational inequalities

Lateef Olakunle Jolaoso, Nattawut Pholasa, Pongsakorn Sunthrayuth*, Prasit Cholamjiak

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we propose a self-adaptive inertial-like algorithm with Bregman distance for approximating a common solution of systems of variational inequalities for a class of monotone and Lipschitz continuous mappings in real reflexive Banach spaces. Our algorithm is constructed without using hybrid projection method and shrinking projection method, and its strong convergence is proved without the prior information of the Lipschitz constant of the mapping. Finally, we provide some numerical experiments to illustrate the performance of the newly proposed method including a comparison with related works in solving signal restoration problems.

Original languageEnglish
Pages (from-to)16876-16898
Number of pages23
JournalMathematical Methods in the Applied Sciences
Volume46
Issue number16
DOIs
Publication statusPublished - 15 Nov 2023
Externally publishedYes

Keywords

  • Bregman distance
  • monotone mapping
  • reflexive Banach space
  • strong convergence
  • variational inequality problem

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