Inertial modified projection algorithm with self-adaptive technique for solving pseudo-monotone variational inequality problems in Hilbert spaces. (9th December 2022)

• Record Type: Journal Article
• Authors: Tian, Ming; Xu, Gang
• Is Part Of: Optimization. Volume 71:Number 13(2022)
• Page Start: 3965
• Page End: 3980
• Publication Date: 2022-12-09
• Subjects: Variational inequality problem -- projection method -- inertial method -- hybrid algorithm -- pseudo-monotone operator -- self-adaptive technique; 47H05 -- 90C33; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2021.1928123
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract : For solving pseudo-monotone variational inequality problems in Hilbert spaces, we introduce a new algorithm with self-adaptive technique. The algorithm is based on the projection method and inertial method. The strong convergence theorem is established under some appropriate conditions. Finally, we provide some numerical experiments to illustrate the effectiveness and advantages of the proposed algorithm.