Abstract

We develop a novel variant of the epsilon subdifferential method and use it to give a new proof of Moreau-Rockafellar theorem that a proper lower semicontinuous convex function on Banach space is determined up to a constant by its subdifferential.

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Keywords

  • Convex function
  • epsilon subdifferential
  • epsilon subdifferential method

Mathematics Subject Classification

52A41, 49J53, 26E15, 47H05

Suggested citation

M. Konstantinov, N. Zlateva. “Epsilon Subdifferential Method and Integrability.” Journal of Convex Analysis 29 (2022), No. 2, 571–582. https://doi.org/10.68381/jca29033

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Published by Heldermann Verlag, 2022. Rights now held by Banach Press.