A Strong Convergence Theorem by the Shrinking Projection Method for the Split Common Null Point Problem in Banach Spaces. (2nd February 2016)

• Record Type: Journal Article
• Authors: Hojo, Mayumi; Takahashi, Wataru
• Is Part Of: Numerical functional analysis and optimization. Volume 37:Number 5(2016)
• Page Start: 541
• Page End: 553
• Publication Date: 2016-02-02
• Subjects: Duality mappinng -- fixed point -- hybrid method -- metric resolvent -- shrinking projection method -- split common null point problem; 47H05 -- 47H09; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2016.1139589
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: In this article, we consider the split common null point problem in Banach spaces. Then, using the shrinking projection method, we prove a strong convergence theorem for finding a solution of the split common null point problem in Banach spaces. It appears that such a theorem is a first in Banach spaces.