Strong Convergence of Trajectories via Inertial Dynamics Combining Hessian-Driven Damping and Tikhonov Regularization for General Convex Minimizations
Author:
Affiliation:
1. Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad university, Marrakech, Morocco
Publisher
Informa UK Limited
Subject
Control and Optimization,Computer Science Applications,Signal Processing,Analysis
Link
https://www.tandfonline.com/doi/pdf/10.1080/01630563.2023.2262828
Reference35 articles.
1. Proximal Point Algorithm Controlled by a Slowly Vanishing Term: Applications to Hierarchical Minimization
2. Asymptotic behavior of coupled dynamical systems with multiscale aspects
3. Asymptotic behavior of gradient-like dynamical systems involving inertia and multiscale aspects
4. Equilibrium Problems with Generalized Monotone Bifunctions and Applications to Variational Inequalities
5. Attouch, H. (1984). Variational Convergence for Functions and Operators. Applicable Mathematics Series. Boston: Pitman Advanced Publishing Program.
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1. Fast convergence rate of values with strong convergence of trajectories via inertial dynamics with Tikhonov regularization terms and asymptotically vanishing damping;Journal of Nonlinear and Variational Analysis;2024
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