A new splitting method for monotone inclusions of three operators

CALCOLO ◽  
2018 ◽  
Vol 56 (1) ◽  
Author(s):  
Yunda Dong ◽  
Xiaohuan Yu
Keyword(s):  
Splitting Method ◽  
Monotone Inclusions

scholarly journals A Parallel Splitting Method for Coupled Monotone Inclusions

2010 ◽  
Vol 48 (5) ◽  
pp. 3246-3270 ◽  
Author(s):  
Hédy Attouch ◽  
Luis M. Briceño-Arias ◽  
Patrick L. Combettes
Keyword(s):  
Splitting Method ◽  
Monotone Inclusions ◽  
Parallel Splitting

scholarly journals A Forward-Backward Splitting Method for Monotone Inclusions Without Cocoercivity

2020 ◽  
Vol 30 (2) ◽  
pp. 1451-1472 ◽  
Author(s):  
Yura Malitsky ◽  
Matthew K. Tam
Keyword(s):  
Splitting Method ◽  
Monotone Inclusions

scholarly journals A Symmetric FBF Method for Solving Monotone Inclusions

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1456
Author(s):  
Aviv Gibali ◽  
Yekini Shehu
Keyword(s):  
Hilbert Spaces ◽  
Iterative Procedure ◽  
Splitting Method ◽  
Maximal Monotone ◽  
Linear Convergence ◽  
Monotone Operators ◽  
Weak And Strong Convergence ◽  
Lipschitz Continuous ◽  
Linear Convergence Rate ◽  
Monotone Inclusions

The forward–backward–forward (FBF) splitting method is a popular iterative procedure for finding zeros of the sum of maximal monotone and Lipschitz continuous monotone operators. In this paper, we introduce a forward–backward–forward splitting method with reflection steps (symmetric) in real Hilbert spaces. Weak and strong convergence analyses of the proposed method are established under suitable assumptions. Moreover, a linear convergence rate of an inertial modified forward–backward–forward splitting method is also presented.

scholarly journals Shadow Douglas–Rachford Splitting for Monotone Inclusions

2019 ◽  
Vol 80 (3) ◽  
pp. 665-678 ◽  
Author(s):  
Ernö Robert Csetnek ◽  
Yura Malitsky ◽  
Matthew K. Tam
Keyword(s):  
Monotone Inclusions
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