A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities. (1st September 2016)

• Record Type: Journal Article
• Authors: Khanh, Pham Duy
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 9(2016)
• Page Start: 1131
• Page End: 1143
• Publication Date: 2016-09-01
• Subjects: Convergence -- monotonicity -- new extragradient method -- strong pseudomonotonicity -- variational inequality; 47J20 -- 49J40 -- 49M30; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1212372
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: This article proposes a new extragradient solution method for strongly pseudomonotone variational inequalities. A detailed analysis of the iterative sequences' convergence and of the range of applicability of the method is provided. Moreover, an interesting class of strongly pseudomonotone infinite dimensional variational inequality problems is considered.