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A Modified Halpern's Iterative Scheme for Solving Split Feasibility Problems
Author(s) -
Jitsupa Deepho,
Poom Kumam
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/876069
Subject(s) - mathematics , hilbert space , scheme (mathematics) , convergence (economics) , iterative method , inverse , space (punctuation) , mathematical optimization , inverse problem , mathematical analysis , computer science , geometry , economics , economic growth , operating system
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

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