A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities. (1st September 2020)

• Record Type: Journal Article
• Authors: Fan, Jingjing; Liu, Liya; Qin, Xiaolong
• Is Part Of: Optimization. Volume 69:Number 9(2020)
• Page Start: 2199
• Page End: 2215
• Publication Date: 2020-09-01
• Subjects: Gradient projection -- maximal monotone operator -- inertial extrapolation -- variational inequality; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2019.1625355
• Languages: English
• ISSNs: 0233-1934

Abstract

ABSTRACT: In this paper, we introduce a new algorithm by incorporating inertial terms in a subgradient extragradient algorithm for solving variational inequality problems involving strongly pseudomonotone and Lipschitz continuous operators in Hilbert spaces. The strong convergence of the algorithm is obtained under mild assumptions. We also provide some numerical examples to illustrate that the acceleration of our algorithm is effective.