Convergence of an Inertial Shadow Douglas-Rachford Splitting Algorithm for Monotone Inclusions. (26th October 2021)

• Record Type: Journal Article
• Authors: Fan, Jingjing; Qin, Xiaolong; Tan, Bing
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 14(2021)
• Page Start: 1627
• Page End: 1644
• Publication Date: 2021-10-26
• Subjects: Inertial algorithm -- Monotone inclusion -- Shadow Douglas-Rachford splitting algorithm -- Three-operator splitting; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.2001749
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: An inertial shadow Douglas-Rachford splitting algorithm for finding zeros of the sum of monotone operators is proposed in Hilbert spaces. Moreover, a three-operator splitting algorithm for solving a class of monotone inclusion problems is also concerned. The weak convergence of the algorithms is investigated under mild assumptions. Some numerical experiments are implemented to illustrate our main convergence results.