Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

Modified accelerated Bregman projection methods for solving quasi-monotone variational inequalities

Zhong-bao Wang, Pongsakorn Sunthrayuth, Abubakar Adamu and Prasit Cholamjiak
Optimization 73 (7) 2053 (2024)
https://doi.org/10.1080/02331934.2023.2187663

Second Order Splitting Dynamics with Vanishing Damping for Additively Structured Monotone Inclusions

Radu Ioan Boţ and David Alexander Hulett
Journal of Dynamics and Differential Equations 36 (1) 727 (2024)
https://doi.org/10.1007/s10884-022-10160-3

A second order dynamical system method for solving a maximally comonotone inclusion problem

Zengzhen Tan, Rong Hu and Yaping Fang
Communications in Nonlinear Science and Numerical Simulation 134 108010 (2024)
https://doi.org/10.1016/j.cnsns.2024.108010

A Second-Order Continuous-Time Dynamical System for Solving Sparse Image Restoration Problems

Wenjie Wang, Chunyan Wang and Mengzhen Li
Mathematics 12 (15) 2360 (2024)
https://doi.org/10.3390/math12152360

Convergence of Inertial Dynamics Driven by Sums of Potential and Nonpotential Operators with Implicit Newton-Like Damping

Samir Adly, Hedy Attouch and Van Nam Vo
Journal of Optimization Theory and Applications 198 (1) 290 (2023)
https://doi.org/10.1007/s10957-023-02228-x

Second order dynamical systems governed by maximally monotone operators: Quantitative stability

Mohamed Ait Mansour, Hedy Attouch and Zakaria Mazgouri
Evolution Equations and Control Theory (2023)
https://doi.org/10.3934/eect.2023056

Newton-Type Inertial Algorithms for Solving Monotone Equations Governed by Sums of Potential and Nonpotential Operators

Samir Adly, Hedy Attouch and Van Nam Vo
Applied Mathematics & Optimization 85 (3) (2022)
https://doi.org/10.1007/s00245-022-09846-3

Asymptotic behaviour of a dynamical system governed by non-monotone potential and non-potential operators

B. Djafari Rouhani, H. Khatibzadeh, M. Rahimi Piranfar and J. Rooin
Optimization 71 (9) 2703 (2022)
https://doi.org/10.1080/02331934.2021.1875223

Asymptotic behavior of Newton-like inertial dynamics involving the sum of potential and nonpotential terms

Samir Adly, Hedy Attouch and Van Nam Vo
Fixed Point Theory and Algorithms for Sciences and Engineering 2021 (1) (2021)
https://doi.org/10.1186/s13663-021-00702-7

Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators

Hedy Attouch and Szilárd Csaba László
SIAM Journal on Optimization 30 (4) 3252 (2020)
https://doi.org/10.1137/20M1333316

A Hybrid Forward–Backward Algorithm and Its Optimization Application

Liya Liu, Xiaolong Qin and Jen-Chih Yao
Mathematics 8 (3) 447 (2020)
https://doi.org/10.3390/math8030447

Convergence of a Relaxed Inertial Forward–Backward Algorithm for Structured Monotone Inclusions

Hedy Attouch and Alexandre Cabot
Applied Mathematics & Optimization 80 (3) 547 (2019)
https://doi.org/10.1007/s00245-019-09584-z

A second-order dynamical system with Hessian-driven damping and penalty term associated to variational inequalities

Radu Ioan Boţ and Ernö Robert Csetnek
Optimization 68 (7) 1265 (2019)
https://doi.org/10.1080/02331934.2018.1452922

Nonhomogeneous nonlinear oscillator with damping: asymptotic analysis in continuous and discrete time

Behzad Djafari Rouhani and Mohsen Rahimi Piranfar
Demonstratio Mathematica 52 (1) 274 (2019)
https://doi.org/10.1515/dema-2019-0028

Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators

Hedy Attouch and Juan Peypouquet
Mathematical Programming 174 (1-2) 391 (2019)
https://doi.org/10.1007/s10107-018-1252-x

Convergence rates for forward–backward dynamical systems associated with strongly monotone inclusions

Radu Ioan Boţ and Ernö Robert Csetnek
Journal of Mathematical Analysis and Applications 457 (2) 1135 (2018)
https://doi.org/10.1016/j.jmaa.2016.07.007

Convergence of damped inertial dynamics governed by regularized maximally monotone operators

Hedy Attouch and Alexandre Cabot
Journal of Differential Equations 264 (12) 7138 (2018)
https://doi.org/10.1016/j.jde.2018.02.017

Levenberg-Marquardt Dynamics Associated to Variational Inequalities

Radu Ioan Boţ and Ernö Robert Csetnek
Set-Valued and Variational Analysis 25 (3) 569 (2017)
https://doi.org/10.1007/s11228-017-0409-8

Second Order Forward-Backward Dynamical Systems For Monotone Inclusion Problems

Radu Ioan Boţ and Ernö Robert Csetnek
SIAM Journal on Control and Optimization 54 (3) 1423 (2016)
https://doi.org/10.1137/15M1012657

Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator

Boushra Abbas and Hédy Attouch
Optimization 64 (10) 2223 (2015)
https://doi.org/10.1080/02331934.2014.971412

First-Order Continuous Newton-like Systems for Monotone Inclusions

Paul-Emile Maingé
SIAM Journal on Control and Optimization 51 (2) 1615 (2013)
https://doi.org/10.1137/110854758