Four-operator reflected forward-backward algorithm for solving monotone inclusions involving Lipschitzian operator

In this work, using a discretisation of continuous-time dynamical systems, we design a novel splitting algorithm without the lifting technique for finding the sum of three maximal monotone operators and a monotone operator with Lipschitz continuity. In theory, we analyze the weak and strong converge...

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Bibliographic Details

Published in:	Communications in nonlinear science & numerical simulation Vol. 153; p. 109485
Main Authors:	Cao, Yu, Wang, Yuanheng, Ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.02.2026
Subjects:	Forward-backward splitting algorithm Lipschitz continuous Maximal monotone Reflected technique 68Q25 Forward-backward splitting algorithm Maximal monotone 90C25 Lipschitz continuous 47H05 49M25 Reflected technique
ISSN:	1007-5704
Online Access:	Get full text
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