Golden ratio method for solving monotone variational inequality problems in Hadamard spaces-Reference-Cited by-同舟云学术

Golden ratio method for solving monotone variational inequality problems in Hadamard spaces

Published:2024-04-21 Issue:12 Volume:47 Page:10101-10116
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Salisu Sani¹²^ORCID,Sriwongsa Songpon¹^ORCID,Kumam Poom¹^ORCID

Affiliation:

1. Center of Excellence in Theoretical and Computational Science (TaCS‐CoE) & KMUTT Fixed Point Research Laboratory, Room SCL 802, Fixed Point Laboratory, Science Laboratory Building, Departments of Mathematics, Faculty of Science King Mongkut's University of Technology Thonburi (KMUTT) Bangkok Thailand

2. Department of Mathematics, Faculty of Natural Sciences Sule Lamido University Kafin Hausa Jigawa Nigeria

Abstract

In this article, a generalized variational inequality problem in the setting of Hadamard spaces is introduced and analyzed. For approximating a solution of the problem when the underlined mapping is monotone, an adaptive algorithm that requires the computation of only one proximal operator at each iteration is proposed. The work gives a step towards investigating monotone variational inequality problems in geodesic settings.

Funder

Center of Excellence in Theoretical and Computational Science, King Mongkut's University of Technology Thonburi

King Mongkut's University of Technology Thonburi

Thailand Science Research and Innovation

Publisher

Wiley

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.10112

Reference45 articles.

1. Variational inequalities

2. Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems