2 papers
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.OC2025
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, \…