Weak and strong convergence of an inertial proximal method for solving bilevel monotone equilibrium problems

Autor:	Balhag, AÏcha, Mazgouri, Zakaria, Théra, Michel
Rok vydání:	2022
Předmět:	Mathematics - Optimization and Control 90C33 49J40 46N10 65K15 65K10 G.1.6
Druh dokumentu:	Working Paper
Popis:	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 and without any restrictive assumption on the trajectories, the weak and strong convergence of the sequence generated by the iterative method are established. Two particular cases illustrating the proposed method are thereafter discussed with respect to hierarchical minimization problems and equilibrium problems under saddle point constraint. Furthermore, a numerical example is given to demonstrate the implementability of our algorithm. The algorithm and its convergence results improve and develop previous results in the field. Comment: 23
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2210.10714 Zobrazit plný text záznamu View this record from Arxiv