New iterative algorithms with self-adaptive step size for solving split equality fixed point problem and its applications. (2nd January 2023)

• Record Type: Journal Article
• Authors: Tang, Yan; Zhou, Haiyun
• Is Part Of: Optimization methods and software. Volume 38:Number 1(2023)
• Page Start: 128
• Page End: 152
• Publication Date: 2023-01-02
• Subjects: Split equality fixed point problem -- quasi-pseudo-contractive mapping -- self-adaptive step size; 65K10 -- 65K05 -- 47H10 -- 47L25; Mathematical optimization -- Periodicals; Algorithms -- Periodicals; 519.7
• DOI: 10.1080/10556788.2022.2117357
• Languages: English
• ISSNs: 1055-6788

Abstract

Abstract : The purpose of this paper is to propose a new alternative step size algorithm without using projections and without prior knowledge of operator norms to the split equality fixed point problem for a class of quasi-pseudo-contractive mappings. Under appropriate conditions, weak and strong convergence theorems for the presented algorithms are obtained, respectively. Furthermore, the algorithm proposed in this paper is also applied to approximate the solution of the split equality equilibrium and split equality inclusion problems.