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math.OC2025
Weak and strong convergence of a relaxed inertial proximal splitting algorithm for solving hierarchical equilibrium problems
Zakaria Mazgouri, Hassan Riahi, Michel Théra
In this chapter, we introduce the relaxed inertial proximal splitting algorithm (RIPSA) for hierarchical equilibrium problems. Using Opial-Passty's lemma, we first establish weak e…
math.OC2024
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…
math.OC2023
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…