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Journal Articles Journal of Optimization Theory and Applications Year : 2018

Well-Posedness and Inf-Convolution


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.
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hal-01768179 , version 1 (17-04-2018)


  • HAL Id : hal-01768179 , version 1


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