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.

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