A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators-Reference-Cited by-同舟云学术

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A Reflected Forward-Backward Splitting Method for Monotone Inclusions Involving Lipschitzian Operators

Published:2020-03-30 Issue:1 Volume:29 Page:163-174
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Cevher Volkan,Vũ Bằng Công

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Analysis

Link

http://link.springer.com/content/pdf/10.1007/s11228-020-00542-4.pdf

Reference20 articles.

1. Bauschke, H.H., Combettes, P.L., Analysis, Convex: Convex Analysis and Monotone Operator Theory in Hilbert Spaces, 2nd edn. Springer, New York (2017)

2. Boţ, R.I., Hendrich, C.: A Douglas–Rachford type primal-dual method for solving inclusions with mixtures of composite and parallel-sum type monotone operators. SIAM J. Optim. 23, 2541–2565 (2013)

3. Boţ, R.I., Hendrich, C.: Convergence analysis for a Primal-Dual monotone + skew splitting algorithm with applications to total variation minimization. J. Math. Imaging Vis. 49, 551–568 (2014)

4. Briceño-Arias, L.M., Combettes, P.L.: A monotone + skew splitting model for composite monotone inclusions in duality. SIAM J. Optim. 21, 1230–1250 (2011)

5. Combettes, P.L.: Systems of structured monotone inclusions: duality, algorithms, and applications. SIAM J. Optim. 23, 2420–2447 (2013)

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2. Two New Splitting Methods for Three-Operator Monotone Inclusions in Hilbert Spaces;Set-Valued and Variational Analysis;2024-08-05

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4. Forward–Reflected–Backward Splitting Algorithms with Momentum: Weak, Linear and Strong Convergence Results;Journal of Optimization Theory and Applications;2024-03-15

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