Reference : The Perturbed Generalized Proximal Point Algorithm
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/2268/146168
The Perturbed Generalized Proximal Point Algorithm
English
Alexandre, Patrick []
Nguyen, Van Hien []
Tossings, Patricia mailto [Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales >]
1998
Mathematical Modelling and Numerical Analysis
Elsevier
32
2
223-253
Yes (verified by ORBi)
International
0764-583X
1290-3841
Paris
France
[en] Proximal regularization ; Perturbation ; Variable metric ; Relaxation ; Variational convergence
[en] During the last years, different modifications were introduced in the proximal point algorithm devloped by R.T. Rockafellar for searching a zero of a maximal monotone operator on a real Hilbert space. We combine these modifications to get a new version of this algorithm. We take simultaneously into account a variable metric, a perturbation and a kind of relaxation. Our work takes place in the context of the variational convergence theory.
Researchers ; Professionals
http://hdl.handle.net/2268/146168

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