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Well-posedness by perturbations of variational problems. (English) Zbl 1047.90067
Summary: In this paper, we consider the extension of the notion of well-posedness by perturbations, introduced by Zolezzi for optimization problems, to other related variational problems like inclusion problems and fixed-point problems. Then, we study the conditions under which there is equivalence of the well-posedness in the above sense between different problems. Relations with the so-called diagonal well-posedness are also given. Finally, an application to staircase iteration methods is presented.

MSC:
90C31 Sensitivity, stability, parametric optimization
58E30 Variational principles in infinite-dimensional spaces
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