1 citations · 1 across the 4 of their papers we have counts for
4 papers
An inertial proximal splitting algorithm for hierarchical bilevel equilibria in Hilbert spaces
Aicha Balhag, Zakaria Mazgouri, Hassan Riahi +1
In this article, we aim to approximate a solution to the bilevel equilibrium problem for short: find such that $ g(\bar{x}, y) \geq 0, \…
Weak and strong convergence of an inertial proximal method for solving bilevel monotone equilibrium problems
AÏcha Balhag, Zakaria Mazgouri, Michel Théra
In this paper, we introduce an inertial proximal method for solving a bilevel problem involving two monotone equilibrium bifunctions in Hilbert spaces. Under suitable conditions an…
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…
Fast convex optimization via inertial dynamics combining viscous and Hessian-driven damping with time rescaling
Hedy Attouch, Aicha Balhag, Zaki Chbani +1
In a Hilbert setting, we develop fast methods for convex unconstrained optimization. We rely on the asymptotic behavior of an inertial system combining geometric damping with tempo…