Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces. (11th June 2021)

• Record Type: Journal Article
• Authors: Kim, Jong Kyu; Tuyen, Truong Minh; Ha, Mai Thi Ngoc
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 8(2021)
• Page Start: 973
• Page End: 988
• Publication Date: 2021-06-11
• Subjects: Multiple output sets -- nonexpansive mapping -- projection methods -- split common fixed point problem; 47H09 -- 47H10 -- 49J53 -- 90C25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1933528
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We study the split common fixed point problem with multiple output sets in Hilbert spaces. In order to solve this problem, we propose two new algorithms and establish two strong convergence theorems for both of them. Moreover, using these methods, we also remove the assumptions imposed on the norm of the transfer operators.