13 citations · 18 across the 13 of their papers we have counts for
14 papers
Asymptotic behavior of the Arrow-Hurwicz differential system with Tikhonov regularization
Fouad Battahi, Zaki Chbani, Simon K. Niederländer +1
In a real Hilbert space setting, we investigate the asymptotic behavior of the solutions of the classical Arrow-Hurwicz differential system combined with Tikhonov regularizing term…
Strong convergence towards the minimum norm solution via temporal scaling and Tikhonov approximation of a first-order dynamical system
A. C. Bagy, Z. Chbani, H. Riahi
Given a proper convex lower semicontinuous function defined on a Hilbert space and whose solution set is supposed nonempty. For attaining a global minimizer when this convex functi…
Combining Strong Convergence, Values Fast Convergence and Vanishing of Gradients for a Proximal Point Algorithm Using Tikhonov Regularization in a Hilbert Space
A. C. Bagy, Z. Chbani, H. Riahi
In a real Hilbert space . Given any function convex differentiable whose solution set is nonempty, by considering the Proximal Algorithm…
Accelerated gradient methods with strong convergence to the minimum norm minimizer: a dynamic approach combining time scaling, averaging, and Tikhonov regularization
Hedy Attouch, Zaki Chbani, Hassan Riahi
In a Hilbert framework, for convex differentiable optimization, we consider accelerated gradient methods obtained by combining temporal scaling and averaging techniques with Tikhon…
Accelerated gradient methods combining Tikhonov regularization with geometric damping driven by the Hessian
Hedy Attouch, Aicha Balhag, Zaki Chbani +1
In a Hilbert setting, for convex differentiable optimization, we consider accelerated gradient dynamics combining Tikhonov regularization with Hessian-driven damping. The Tikhonov…
Damped inertial dynamics with vanishing Tikhonov regularization: strong asymptotic convergence towards the minimum norm solution
Hedy Attouch, Aicha Balhag, Zaki Chbani +1
In a Hilbert space, we provide a fast dynamic approach to the hierarchical minimization problem which consists in finding the minimum norm solution of a convex minimization problem…