Nonlinear iterative methods for solving the split common null point problem in Banach spaces. (4th July 2019)

• Record Type: Journal Article
• Authors: Suantai, Suthep; Shehu, Yekini; Cholamjiak, Prasit
• Is Part Of: Optimization methods and software. Volume 34:Number 4(2019)
• Page Start: 853
• Page End: 874
• Publication Date: 2019-07-04
• Subjects: Split common null point problem -- strong convergence -- resolvent operator -- metric resolvent -- Banach space; 49J53 -- 65K10 -- 49M37 -- 90C25; Mathematical optimization -- Periodicals; Algorithms -- Periodicals; 519.7
• DOI: 10.1080/10556788.2018.1472257
• Languages: English
• ISSNs: 1055-6788

Abstract

ABSTRACT: In this work, we study the split common null point problem in the framework of Banach spaces. We propose an iterative scheme for solving the problem and then prove strong convergence theorem of the sequences generated by our iterative scheme under suitable conditions. We finally provide some numerical examples to support the main theorem.