A Primal-dual Backward Reflected Forward Splitting Algorithm for Structured Monotone Inclusions

We propose a primal-dual backward reflected forward splitting method for solving structured primal-dual monotone inclusions in real Hilbert spaces. The algorithm allows to use the inexact computations of Lipschitzian and cocoercive operators. The strong convergence of the generated iterative sequenc...

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Bibliographic Details
Published in:	Acta mathematica vietnamica Vol. 49; no. 2; pp. 159 - 172
Main Authors:	Bằng, Vũ Công, Papadimitriou, Dimitri, Nhâm, Vũ Xuân
Format:	Journal Article
Language:	English
Published:	Singapore Springer Nature Singapore 01.06.2024
Subjects:	Mathematics Mathematics and Statistics Forward-backward Cocoercive Monotone inclusion Primal-dual algorithm Monotone operator Duality Lipschitz Backward-forward 90C25 Operator splitting Composite operator 49M29 49M27 47H05
ISSN:	0251-4184, 2315-4144
Online Access:	Get full text
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