A Forward-Backward-Forward Algorithm for Solving Quasimonotone Variational Inequalities. (4th January 2022)

• Record Type: Journal Article
• Authors: Yin, Tzu-Chien; Hussain, Nawab
• Other Names: Vetro Calogero Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-01-04
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/7117244
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we continue to investigate the convergence analysis of Tseng-type forward-backward-forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self-adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators. Furthermore, we weaken the sequential weak continuity of quasimonotone operators to a weaker condition. Under some mild assumptions, we prove that Tseng-type forward-backward-forward algorithm converges weakly to a solution of quasimonotone variational inequalities.