Strong Convergence Theorem for Multiple Sets Split Feasibility Problems in Banach Spaces. (2nd August 2016)

• Record Type: Journal Article
• Authors: Shehu, Yekini
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 8(2016)
• Page Start: 1021
• Page End: 1036
• Publication Date: 2016-08-02
• Subjects: Bregman projection -- metric projection -- multiple-sets split feasibility problem -- strong convergence -- uniformly convex Banach spaces -- uniformly smooth Banach spaces; 49J53 -- 65K10 -- 49M37 -- 90C25; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1185614
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: The purpose of this article is to study the iterative approximation of solution to multiple sets split feasibility problems in p -uniformly convex real Banach spaces that are also uniformly smooth. We propose an iterative algorithm for solving multiple sets split feasibility problems and prove a strong convergence theorem of the sequence generated by our algorithm under some appropriate conditions in p -uniformly convex real Banach spaces that are also uniformly smooth.