Two New Splitting Methods for Three-Operator Monotone Inclusions in Hilbert Spaces

In this paper, we propose two new unified splitting methods for monotone inclusion problems with three operators in real Hilbert spaces. These methods are based on the combination of Douglas-Rachford method and other methods, forward-backward-forward method and reflected-forward-backward method. The...

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Vydané v:Set-valued and variational analysis Ročník 32; číslo 3; s. 26
Hlavní autori: Nguyen, Van Dung, Vinh, Nguyen The
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Dordrecht Springer Netherlands 01.09.2024
Springer Nature B.V
Predmet:
Algorithms
Analysis
Hilbert space
Inclusions
Mathematics
Mathematics and Statistics
Methods
Optimization
Splitting
Douglas-Rachford
Reflected-forward-backward
Monotone inclusion
Forward-backward-forward
90C25
Three operators
49M29
49M27
47H05
ISSN:1877-0533, 1877-0541
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Shrnutí:In this paper, we propose two new unified splitting methods for monotone inclusion problems with three operators in real Hilbert spaces. These methods are based on the combination of Douglas-Rachford method and other methods, forward-backward-forward method and reflected-forward-backward method. The weak convergence of new algorithms under standard assumptions is established. We also give some numerical examples to demonstrate the efficiency of the proposed methods.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1877-0533
1877-0541
DOI:10.1007/s11228-024-00730-6