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Porosity of ill-posed problems
Authors:Robert Deville  Julian P Revalski
Institution:Laboratoire de Mathématiques, Université de Bordeaux, 351, cours de la Libération, 33 400 Talence, France ; Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, block 8, 1113 Sofia, Bulgaria
Abstract:We prove that in several classes of optimization problems, including the setting of smooth variational principles, the complement of the set of well-posed problems is $\sigma$-porous.

Keywords:Variational principles  well-posed optimization problems  ill-posed problems  porous sets  porosity
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