Emil Ernst

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A characterization of closed convex sets possessing a barrier cone with a nonempty interior is achieved. As a consequence, we describe all the proper extended-valued functionals for which the domain of their Fenchel conjugate has a nonempty interior. We end up the paper by giving an application to the study of the stability of the solution set of a(More)
As well known, the Moreau-Rockafellar-Robinson internal point qualification condition is sufficient to ensure that the infimal convolution of the conjugates of two extended-real-valued convex lower semi-continuous functions defined on a locally convex space is exact, and that the subdifferential of the sum of these functions is the sum of their(More)
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