A Modified Halpern's Iterative Scheme for Solving Split Feasibility Problems

Jitsupa Deepho and Poom Kumam

Abstract and Applied Analysis, 2012, vol. 2012, 1-8

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:876069

DOI: 10.1155/2012/876069

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