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math.OC2022
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…
math.OC2022★ 1 cited
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…