A Modified Halpern's Iterative Scheme for Solving Split Feasibility Problems. (10th October 2012)

• Record Type: Journal Article
• Authors: Deepho, Jitsupa; Kumam, Poom
• Other Names: Xu Hong-Kun Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-10-10
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/876069
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The purpose of this paper is to introduce and study a modified Halpern's iterative scheme for solving the split feasibility problem (SFP) in the setting of infinite-dimensional Hilbert spaces. Under suitable conditions a strong convergence theorem is established. The main result presented in this paper improves and extends some recent results done by Xu (Iterative methods for the split feasibility problem in infinite-dimensional Hilbert space, Inverse Problem 26 (2010) 105018) and some others.