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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Vydáno v:	Optimization Ročník 74; číslo 12; s. 2885 - 2929
Hlavní autoři:	Balhag, A., Mazgouri, Z., Théra, M.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Philadelphia Taylor & Francis 10.09.2025 Taylor & Francis LLC
Témata:	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
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