A survey of iterative methods for approximating solutions to variational inequality problems

In this survey we report on some of the diverse interesting iterative techniques which have been proposed for approximating a solution to the Variational Inequality Problem (VIP) in the last decade.We discuss, in particular, methods for solving the VIP which are associated with three monotonicity concepts (strong pseudomonotonicity, monotonicity, and pseudomonotonicity) in Hilbert spaces.

Publication Details

Journal
Communications in Optimization Theory
Published
2025-01-01
DOI
https://doi.org/10.23952/cot.2025.16
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

A survey of iterative methods for approximating solutions to variational inequality problems

Communications in Optimization Theory
Optimization and Variational Analysis
article

A survey of iterative methods for approximating solutions to variational inequality problems

article en

Abstract

In this survey we report on some of the diverse interesting iterative techniques which have been proposed for approximating a solution to the Variational Inequality Problem (VIP) in the last decade.We discuss, in particular, methods for solving the VIP which are associated with three monotonicity concepts (strong pseudomonotonicity, monotonicity, and pseudomonotonicity) in Hilbert spaces.

Communications in Optimization TheoryVol. 2025(1)
Openalex Percentile: Top 71%
Optimization and Variational Analysis
DOIOpen Access PDFOpenAlex
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A survey of iterative methods for approximating solutions to variational inequality problems · Communications in Optimization Theory (2025) | TGRS Research Map | TGRS