Accelerated Modified Tseng’s Extragradient Method for Solving Variational Inequality Problems in Hilbert Spaces

The aim of this paper is to propose a new iterative algorithm to approximate the solution for a variational inequality problem in real Hilbert spaces. A strong convergence result for the above problem is established under certain mild conditions. Our proposed method requires the computation of only...

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Bibliographic Details
Main Authors: Godwin Amechi Okeke, Mujahid Abbas, Manuel De la Sen, Hira Iqbal
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/4/248
Description
Summary:The aim of this paper is to propose a new iterative algorithm to approximate the solution for a variational inequality problem in real Hilbert spaces. A strong convergence result for the above problem is established under certain mild conditions. Our proposed method requires the computation of only one projection onto the feasible set in each iteration. Some numerical examples are presented to support that our proposed method performs better than some known comparable methods for solving variational inequality problems.
ISSN:2075-1680