A modified Halpern's iterative scheme for solving split feasibility problems

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Deepho J., Kumam P.

Publisher: Hindawi

Publication year: 2012

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2012

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84868679501&doi=10.1155%2f2012%2f876069&partnerID=40&md5=20a6a67764facb4049c55faa5b7671eb

Languages: English-Great Britain (EN-GB)

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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. ฉ 2012 Jitsupa Deepho and Poom Kumam.

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