Convergence of inertial prox-penalization and inertial forward-backward algorithms for solving monotone bilevel equilibrium problems

The main focus of this paper is on bilevel optimization on Hilbert spaces involving two monotone equilibrium bifunctions. We present a new achievement consisting on the introduction of inertial methods for solving these types of problems. Indeed, two several inertial type methods are suggested: a pr...

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Bibliographic Details

Published in:	Optimization Vol. 74; no. 12; pp. 2885 - 2929
Main Authors:	Balhag, A., Mazgouri, Z., Théra, M.
Format:	Journal Article
Language:	English
Published:	Philadelphia Taylor & Francis 10.09.2025 Taylor & Francis LLC
Subjects:	Algorithms Bilevel equilibrium problems Convergence equilibrium Fitzpatrick transform Hilbert space Iterative methods Mathematics monotone bifunctions Optimization proximal algorithm Saddle points weak and strong convergence monotone bifunctions proximal algorithm Bilevel equilibrium problems
ISSN:	0233-1934, 1029-4945
Online Access:	Get full text
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