Analysis of Subgradient Extragradient Iterative Schemes for Variational Inequalities. (5th November 2021)

• Record Type: Journal Article
• Authors: Wu, Danfeng; Zhu, Li-Jun; Shan, Zhuang; Yin, Tzu-Chien
• Other Names: Liu Liya Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2021(2021)
• Publication Date: 2021-11-05
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2021/2218666
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we investigate the monotone variational inequality in Hilbert spaces. Based on Censor's subgradient extragradient method, we propose two modified subgradient extragradient algorithms with self-adaptive and inertial techniques for finding the solution of the monotone variational inequality in real Hilbert spaces. Strong convergence analysis of the proposed algorithms have been obtained under some mild conditions.