A modified subgradient extragradient method with non-monotonic step sizes for solving quasimonotone variational inequalities

In this work, we propose a self-adaptive projection method for solving variational inequalities with Lipschitz continuous and quasimonotone mapping (or Lipschitz continuous mapping without monotonicity) in real Hilbert space. Using the technique of double inertial steps into a single projection meth...

Full description

Saved in:
Bibliographic Details
Published in:Computational & applied mathematics 2024-06, Vol.43 (4), Article 198
Main Authors: Thong, Duong Viet, Li, Xiao-Huan, Dung, Vu Tien, Van Thang, Hoang, Van Long, Luong
Format: Article
Language:English
Subjects:
Algorithms
Applications of Mathematics
Computational Mathematics and Numerical Analysis
Hilbert space
Inequalities
Mapping
Mathematical Applications in Computer Science
Mathematical Applications in the Physical Sciences
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this work, we propose a self-adaptive projection method for solving variational inequalities with Lipschitz continuous and quasimonotone mapping (or Lipschitz continuous mapping without monotonicity) in real Hilbert space. Using the technique of double inertial steps into a single projection method, we give weak and strong convergence theorems of the proposed algorithm. The results obtained in this paper extend some recent results in the literature.
ISSN:2238-3603
1807-0302
DOI:10.1007/s40314-024-02699-2