Four-Operator Splitting via a Forward–Backward–Half-Forward Algorithm with Line Search

In this article, we provide a splitting method for solving monotone inclusions in a real Hilbert space involving four operators: a maximally monotone, a monotone-Lipschitzian, a cocoercive, and a monotone-continuous operator. The proposed method takes advantage of the intrinsic properties of each op...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 195; no. 1; pp. 205 - 225
Main Authors:	Briceño-Arias, Luis M., Roldán, Fernando
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.10.2022 Springer Nature B.V
Subjects:	Algorithms Applications of Mathematics Calculus of Variations and Optimal Control; Optimization Computational geometry Convex analysis Convexity Engineering Game theory Hilbert space Hypotheses Inclusions Mathematics Mathematics and Statistics Methods Operations Research/Decision Theory Operators (mathematics) Optimization Partial differential equations Searching Splitting Theory of Computation Lipschitzian operator 47H10 65K15 65K05 Convex optimization Monotone operator theory Splitting algorithms 90C25 49M29 Cocoercive operator 47H05
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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