Self-adaptive Technique with Double Inertial Steps for Inclusion Problem on Hadamard Manifolds

Hammed Anuoluwapo Abass*, Olawale Kazeem Oyewole, Kazeem Olalekan Aremu, Lateef Olakunle Jolaoso

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, we investigate monotone and Lipschitz continuous variational inclusion problem in the settings of Hadamard manifolds. We propose a forward–backward method with a self-adaptive technique for solving variational inclusion problem. To increase the rate of convergence of our proposed method, we incorporate our iterative method with double inertial steps and establish a convergence result of our iterative method under some mild conditions. Finally, in order to illustrate the computational effectiveness of our method, some numerical examples are also discussed. The result present in this article is new in this space and extends many related results in the literature.

Original languageEnglish
JournalJournal of the Operations Research Society of China
DOIs
Publication statusPublished - 2024

Keywords

  • 47H09
  • 49J25
  • 65K10
  • 90C25
  • Double inertial method
  • Hadamard manifold
  • Monotone operator
  • Riemannian manifold
  • Variational inclusion problem

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