Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure
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Publication:831051
DOI10.1515/anona-2020-0143zbMath1481.34082arXiv1911.04758OpenAlexW2988732123MaRDI QIDQ831051
Radu Ioan Boţ, Dennis Meier, Mathias Staudigl, Sorin-Mihai Grad
Publication date: 10 May 2021
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.04758
Monotone operators and generalizations (47H05) Evolution inclusions (34G25) Asymptotic properties of solutions to ordinary differential equations (34D05)
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On the strong convergence of the trajectories of a Tikhonov regularized second order dynamical system with asymptotically vanishing damping ⋮ Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications ⋮ On regularized forward-backward dynamical systems associated with structured monotone inclusions ⋮ A gradient-like regularized dynamics for monotone equilibrium problems ⋮ Tikhonov Regularization of a Perturbed Heavy Ball System with Vanishing Damping
Cites Work
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- A dynamical system associated with the fixed points set of a nonexpansive operator
- Continuous gradient projection method in Hilbert spaces
- Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization
- Asymptotic convergence of nonlinear contraction semigroups in Hilbert space
- Un exemple concernant le comportement asymptotique de la solution du problème \(du/dt+\partial\varphi(\mu)\ni=0\)
- A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics.
- Stochastic mirror descent dynamics and their convergence in monotone variational inequalities
- Inertial forward-backward algorithms with perturbations: application to Tikhonov regularization
- A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
- A dynamical approach to convex minimization coupling approximation with the steepest descent method
- The forward-backward-forward method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces
- Shadow Douglas-Rachford splitting for monotone inclusions
- Asymptotic behavior of coupled dynamical systems with multiscale aspects
- Combining fast inertial dynamics for convex optimization with Tikhonov regularization
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- Stochastic differential equations, backward SDEs, partial differential equations
- A Differential Equation for Modeling Nesterov's Accelerated Gradient Method: Theory and Insights
- Evolution equations for maximal monotone operators: asymptotic analysis in continuous and discrete time
- Dynamical systems and forward–backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- On the Convergence of Gradient-Like Flows with Noisy Gradient Input
- A forward-backward-forward differential equation and its asymptotic properties
- A variational perspective on accelerated methods in optimization
- Singular Riemannian barrier methods and gradient-projection dynamical systems for constrained optimization
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Variational inequalities
- Convex analysis and monotone operator theory in Hilbert spaces
- Viability theory
