[en] An extension of the (nonexact-perturbed) forward-backward method for finding a zero of a sum of two maximal monotone operators is proposed, using a nonlinear metric, tied to Bregman functions. Results of weak and strong convergence for a sequence generated by such a method are established, under similar assumptions to those appearing in the context of the proximal point algorithm.
Disciplines :
Mathematics
Author, co-author :
Brohé, Myrana
Tossings, Patricia ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales
Language :
English
Title :
Forward-Backward Method with Nonquadratic Kernel for finding a Zero of a Sum of two Maximal Monotone Operators
Publication date :
2001
Publisher :
Institut de Mathématique de l'Université de Liège, Liège, Belgium
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