Equilibrium problems and proximal algorithm using tangent space products

Journal article

Authors/Editors

Strategic Research Themes

Publication Details

Author list: Inuwa, Adamu Yusuf; Chaipunya, Parin; Kumam, Poom; Salisu, Sani

Publication year: 2024

Journal: Carpathian Journal of Mathematics (1843-4401)

Volume number: 40

Issue number: 1

Start page: 65

End page: 76

Number of pages: 12

ISSN: 1843-4401

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85177856383&doi=10.37193%2fCJM.2024.01.06&partnerID=40&md5=a4280890499213bd1897865a6845ddb0

Languages: English-Great Britain (EN-GB)

View on publisher site

Abstract

This paper presents equilibrium problems and their regularized problems in the framework of Hadamard spaces. Using the concept of tangent space products, we introduce a resolvent operator and deduce essential properties in relation to equilibrium problem. Furthermore, we analyze the regularized problems involving resolvent operators. Finally, we establish two convergence results concerning proximal algorithms. ฉ 2024, SINUS Association. All rights reserved.

Keywords

Proximal algorithms, Tangent spaces