On Inexact Relative-Error Hybrid Proximal Extragradient, Forward-Backward and Tseng’s Modified Forward-Backward Methods with Inertial Effects-Reference-Cited by-同舟云学术

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On Inexact Relative-Error Hybrid Proximal Extragradient, Forward-Backward and Tseng’s Modified Forward-Backward Methods with Inertial Effects

Published:2019-03-15 Issue:2 Volume:28 Page:301-325
ISSN:1877-0533
Container-title:Set-Valued and Variational Analysis
language:en
Short-container-title:Set-Valued Var. Anal

Author:

Alves M. Marques,Marcavillaca Raul T.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

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/s11228-019-00510-7.pdf

Reference41 articles.

1. Alvarez, F.: Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space. SIAM J. Optim. 14 (3), 773–782 (2003)

2. Alvarez, F., Attouch, H.: An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping. Set-Valued Anal. 9 (1–2), 3–11 (2001). Wellposedness in optimization and related topics (Gargnano, 1999)

3. Attouch, H., Cabot, A.: Convergence of a relaxed inertial forward-backward algorithm for structured monotone inclusions. Preprint hal-01708216 (2018)

4. Attouch, H., Cabot, A.: Convergence of a relaxed inertial proximal algorithm for maximally monotone operators. Preprint hal-01708905 (2018)

5. Attouch, H., Chbani, Z., Peypouquet, J., Redont, P.: Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity. Math. Program. 168(1–2, Ser. B), 123–175 (2018)

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3. On Proximal Algorithms with Inertial Effects Beyond Monotonicity;Numerical Functional Analysis and Optimization;2023-10-13

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