Iterative methods for solving monotone variational inclusions without prior knowledge of the Lipschitz constant of the single-valued operator-Reference-Cited by-同舟云学术

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Iterative methods for solving monotone variational inclusions without prior knowledge of the Lipschitz constant of the single-valued operator

Published:2024-01-29 Issue: Volume: Page:
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Thong Duong Viet,Reich Simeon^ORCID,Cholamjiak Prasit,Long Le Dinh

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s11075-024-01749-4.pdf

Reference47 articles.

1. Attouch, H., Peypouquet, J., Redont, P.: Backward-forward algorithms for structured monotone inclusions in Hilbert spaces. J. Math. Anal. Appl. 457, 1095–1117 (2018)

2. Bauschke, H.H., Combettes, P.L.: Convex analysis and monotone operator theory in Hilbert spaces. Springer (2011). Second Edition (2017).

3. Bauschke, H.H., Combettes, P.L., Reich, S.: The asymptotic behavior of the composition of two resolvents. Nonlinear Anal. 60, 283–301 (2005)

4. Bot, R.I., Csetnek, E.R.: An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems. Numer. Algorithms. 71, 519–540 (2016)

5. Brézis, H., Chapitre, I.I.: Operateurs maximaux monotones. North-Holland Math Stud. 5, 19–51 (1973)

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