Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results

This paper studies the forward–reflected–backward splitting algorithm with momentum terms for monotone inclusion problem of the sum of a maximal monotone and Lipschitz continuous monotone operators in Hilbert spaces. The forward–reflected–backward splitting algorithm is an interesting algorithm for...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 201; no. 3; pp. 1364 - 1397
Main Authors:	Yao, Yonghong, Adamu, Abubakar, Shehu, Yekini
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.06.2024 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Convergence Engineering Hilbert space Mathematics Mathematics and Statistics Momentum Operations Research/Decision Theory Operators (mathematics) Optimization Splitting Theory of Computation 68Q25 Monotone inclusion 90C30 Forward–reflected–backward splitting algorithm 68T05 90C25 Weak, linear and strong convergence Momentum terms 92B20
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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