New Self-Adaptive Algorithms and Inertial Self-Adaptive Algorithms for the Split Variational Inclusion Problems in Hilbert Space. (4th July 2022)

• Record Type: Journal Article
• Authors: Chuang, Chih-Sheng; Hong, Chung-Chien
• Is Part Of: Numerical functional analysis and optimization. Volume 43:Number 9(2022)
• Page Start: 1050
• Page End: 1068
• Publication Date: 2022-07-04
• Subjects: Self-adaptive algorithm -- inertial algorithm -- inertial self-adaptive algorithm -- split feasibility problem -- split variational inclusion problem; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2022.2084753
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In the field of convex optimization, numerous problems can be modeled as the split variational inclusion problem. In this paper, we want to give self-adaptive algorithms and inertial self-adaptive algorithms to study the split variational inclusion problems. Next, we propose related convergence theorems under suitable conditions.