General alternative regularization methods for split equality common fixed-point problem. (4th May 2018)

• Record Type: Journal Article
• Authors: Zhao, Jing; Jia, Yunnuan; Zhang, Hang
• Is Part Of: Optimization. Volume 67:Number 5(2018)
• Page Start: 619
• Page End: 635
• Publication Date: 2018-05-04
• Subjects: Split equality common fixed-point problem -- nonexpansive operators -- strong convergence -- iterative algorithm -- Hilbert space; Mathematical optimization -- Periodicals; 519.7
• DOI: 10.1080/02331934.2017.1412437
• Languages: English
• ISSNs: 0233-1934

Abstract

Abstract: The purpose of this paper is to propose a general alternative regularization algorithm for split equality common fixed-point problem of nonexpansive operator in the framework of infinite-dimensional Hilbert spaces. We prove the strong convergence of the proposed algorithm with the stepsizes chosen by two ways. As a consequence, we obtain strong convergence theorems for split equality common fixed-point problem of firmly-nonexpansive operator and split equality problem. The efficiency of the proposed algorithms is illustrated by some numerical tests.