Description

• Title:
  Two novel golden ratio algorithms for quasimonotone variational inequalities
• Creator:
  Li, Haiying;
  Wang, Xingfang
• Description:
  In this article, we provide two viscosity-type golden ratio algorithms with different inertial terms for solving quasimonotone variational inequalities in real Hilbert spaces. Both of our algorithms use a new adaptive step size which is based on the golden ratio $(\sqrt{5}+1)/2$. Under some suitable conditions, we obtain strong convergence theorems of our proposed algorithms. Moreover, several numerical results are given to illustrate the efficiency and advantages of our proposed methods.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2025 Haiying Li, Xingfang Wang;
  https://creativecommons.org/licenses/by-nd/4.0
• Date:
  2025.03.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 65, No 1 (March 2025); 145 - 175;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/60428/42259 ;https://apcz.umk.pl/TMNA/article/view/60428/42260
• Subject:
  Variational inequality;
  golden ratio;
  inertial technique;
  quasimonotone;
  Hilbert space;
  Primary: 65K15;
  Secondary: 47H05, 47J25
• Identifier: https://apcz.umk.pl/TMNA/article/view/60428
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other