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Generic well-posedness in minimization problems. (English) Zbl 1099.49023

This paper provides an overview of several results concerning genericity properties, in various settings, of well-posed scalar optimization problems. Genericity of Tikhonov well-posedness and well-posedness under perturbations is examined. Moreover, porosity results are described with applications to convex programming problems.

MSC:

49K40 Sensitivity, stability, well-posedness
49J27 Existence theories for problems in abstract spaces
90C25 Convex programming
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