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.
https://hal-paris1.archives-ouvertes.fr/hal-01768179 Contributor : Mohammed BachirConnect in order to contact the contributor Submitted on : Tuesday, April 17, 2018 - 6:35:18 AM Last modification on : Friday, May 6, 2022 - 4:50:07 PM
Mohammed Bachir. Well-Posedness and Inf-Convolution. Journal of Optimization Theory and Applications, Springer Verlag, 2018, 177 (2), pp.271-290. ⟨hal-01768179⟩