Abstract
Following (López and Volle, J Convex Anal 17, 2010) we provide new formulas for the Fenchel subdifferential of the conjugate of functions defined on locally convex spaces. In particular, this allows deriving expressions for the minimizers set of the lower semicontinuous convex hull of such functions. These formulas are written by means of primal objects related to the subdifferential of the initial function, namely a new enlargement of the Fenchel subdifferential operator.
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Bere 60. urtebetetzea dela eta, Jean-Baptiste Hiriart-urruty eskainia (To Jean-Baptiste Hiriart-Urruty, on the occasion of his sixtieth birthday).
Research supported by Project Fondecyt Number 1080173.
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Correa, R., Hantoute, A. New Formulas for the Fenchel Subdifferential of the Conjugate Function. Set-Valued Anal 18, 405–422 (2010). https://doi.org/10.1007/s11228-010-0152-x
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DOI: https://doi.org/10.1007/s11228-010-0152-x