4.6 Article

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

Journal

NUMERICAL ALGORITHMS
Volume 71, Issue 4, Pages 915-932

Publisher

SPRINGER
DOI: 10.1007/s11075-015-0030-6

Keywords

Accretive operator; Maximal monotone operator; Banach space; Splitting method; Forward-Backward algorithm

Funding

  1. Thailand Research Fund and University of Phayao [TRG5780075]

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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.

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