Work

G -Tseng’s extragradient method for approximating G -variational inequality problem in Hilbert space endowed with graph

Year: 2025

Type: article

Abstract: In this article, we introduce the G -Tseng’s extragradient method, inspired by the extragradient method defined by Korpelevich, for solving G -variational inequality problems in Hilbert space. We also address a fixed point problem in a Hilbert space endowed with a graph using the proposed G -Tseng’s extragradient method. In the context of Hilbert space, we establish weak and strong convergence theorems for the algorithm. Additionally, we provide numerical examples to support our findings.

Source: Examples and Counterexamples

DOI: 10.1016/j.exco.2025.100185

Authors: Monika Swami, M.R. Jadeja

Institutions: Atmiya University, Marwadi University

Language: English

Topic: Optimization and Variational Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $420

Funder: Amity University