Year: 2025
Type: article
Abstract: The study focuses on new iterative algorithms for solving monotone variational inequalities in Hilbert space. A variant of the operator extrapolation algorithm with a variable metric is proposed. Theorems on weak and strong convergence for variational inequalities with Lipschitz continuous and monotone operators are proved. Several applications of the operator extrapolation algorithm for saddle-type problems are considered. Keywords: variational inequality, saddle point problem, Nash equilibrium, operator equation, operator extrapolation method, variable metric method, convergence.
Source: Kibernetyka ta Systemnyi Analiz
Author: V.V. Semenov
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4412844389