[en] We consider a general inexact iterative method for finding a fixed point of a nonexpansive mapping on a real Hilbert space. Proofs of convergence of sequences generated by such a method generally require that the error term goes to zero. The aim of the present paper is to weaken this nonrealistic theoretical assumption. The obtained results are applied to 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 :
Relaxed Assumptions for Iteration Methods
Publication date :
February 1999
Publisher :
Faculté d'Economie, de Gestion et de Sciences Sociales de l'Université de Liège, Liège, Belgium
