Publication Cover
Applicable Analysis
An International Journal
Volume 103, 2024 - Issue 9
209
Views
4
CrossRef citations to date
0
Altmetric
Research Article

Modified inertial Tseng method for solving variational inclusion and fixed point problems on Hadamard manifolds

ORCID Icon, , &
Pages 1604-1627 | Received 17 May 2023, Accepted 02 Sep 2023, Published online: 11 Sep 2023
 

Abstract

In this article, we introduce a forward–backward splitting method with a new step size rule for finding a singularity point of an inclusion problem which is defined by means of a sum of a single-valued vector field and a multi-valued vector field on a Hadamard manifold. Using a Mann, viscosity and an inertial extrapolation method, we establish a convergence result without prior knowledge of the Lipschitz constant of the underlying operator. We present some applications of our result to variational inequality problem. Finally, we present some numerical examples to demonstrate the numerical behavior of our proposed method. The result discuss in this article extends and complements many related results in the literature.

Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability

Data sharing not applicable to this article as no datasets were generated or analyzed during the current study.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.