Convergence Analysis of a New Forward-Reflected-Backward Algorithm for Four Operators Without Cocoercivity

In this paper, we propose a new splitting algorithm to find the zero of a monotone inclusion problem that features the sum of three maximal monotone operators and a Lipschitz continuous monotone operator in Hilbert spaces. We prove that the sequence of iterates generated by our proposed splitting al...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 203; no. 1; pp. 256 - 284
Main Authors:	Cao, Yu, Wang, Yuanheng, ur Rehman, Habib, Shehu, Yekini, Yao, Jen-Chih
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2024 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Convergence Engineering Hilbert space Iterative methods Mathematics Mathematics and Statistics Operations Research/Decision Theory Operators (mathematics) Optimization Splitting Theory of Computation Weak convergence 68Q25 Strong convergence Maximal monotone 90C25 90C22 90C60 49M25 Lipschitz continuity
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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