Proximal determination of convex functions

Published 7 Jul 2020 in math.OC | (2007.03798v3)

Abstract: We provide comparison principles for convex functions through its proximal mappings. Consequently, we prove that the norm of the proximal operator determines a convex the function up to a constant. A new characterization of Lipschitzianity in terms of the proximal operator is given.

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Authors (1)

Emilio Vilches

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