A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities. (31st March 2022)

• Record Type: Journal Article
• Authors: Zhu, Li-Jun; Yin, Tzu-Chien
• Other Names: Işık Hüseyin Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-03-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/9447175
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive rule and the extragradient algorithm. We demonstrate that the procedure weakly converges to the solution of the investigated quasimonotone variational inequality provided the considered operator satisfies several additional conditions.