Well-posedness of variational problems with applications to staircase methods

In this Note we extend the notion of well-posedness by perturbations, introduced by Zolezzi for optimization problems, for inclusion and fixed-point problems. Then we investigate conditions under which we have equivalence for this concept between the different problems. An application to methods coupling iteration and approximation is presented. (C) 2001 Academie des sciences/Editions scientifiques el medicales Elsevier SAS.