The Ball-Relaxed Gradient-Projection Algorithm for Split Feasibility Problem. (12th April 2022)

• Record Type: Journal Article
• Authors: Li, Xiaochun; Liu, Xiaoxiao; Gao, Fugen
• Other Names: Chen Chi Ming Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-04-12
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/9991466
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we concern with the split feasibility problem (SFP) whenever the convex sets involved are composed of level sets. By applying Gradient-projection algorithm which is used to solve constrained convex minimization problem of a real valued convex function, we construct two new algorithms for the split feasibility problem and prove that both of them are convergent weakly to a solution of the feasibility problem. In the end, as an application, we obtain a new algorithm for solving the split equality problem.