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A generalized forward-backward splitting method for solving quasi inclusion problems in Banach spaces

We propose a new general type of splitting methods for accretive operators in Banach spaces. We then give the sufficient conditions to guarantee the strong convergence. In the last section, we apply our results to the minimization optimization problem and the linear inverse problem including the num...

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Bibliographic Details
Published in:Numerical algorithms 2016-04, Vol.71 (4), p.915-932
Main Author: Cholamjiak, Prasit
Format: Article
Language:English
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Summary:We propose a new general type of splitting methods for accretive operators in Banach spaces. We then give the sufficient conditions to guarantee the strong convergence. In the last section, we apply our results to the minimization optimization problem and the linear inverse problem including the numerical examples.
ISSN:1017-1398
1572-9265
DOI:10.1007/s11075-015-0030-6