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Well-Posedness and Inf-Convolution

Mohammed Bachir 1, 2
1 Equations d'evolution
SAMM - Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne)
2 UP1 - Université Paris 1, Panthéon-Sorbonne
Abstract : We prove that the notion of Tykhonov well-posed problems is stable under the operation of inf-convolution. We deal with lower semicontinuous functions (not necessarily convex) defined on a metric magma. Several applications are given, in particular to the study of the map argmin.
Keywords : Invariant metric group and magma Inf-convolution 1-Lipschitz function Tykhonov well-posed problems
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https://hal-paris1.archives-ouvertes.fr/hal-01768179
Contributor : Mohammed Bachir <>
Submitted on : Tuesday, April 17, 2018 - 6:35:18 AM
Last modification on : Tuesday, January 19, 2021 - 11:08:57 AM

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  • HAL Id : hal-01768179, version 1

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Mohammed Bachir. Well-Posedness and Inf-Convolution. Journal of Optimization Theory and Applications, Springer Verlag, 2018, 177 (2), pp.271-290. ⟨hal-01768179⟩

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