Abstract

We present a new method for proving Correa-Jofré-Thibault's theorem that monotonicity of subdifferential implies convexity of the function. This new method is based on barrier functions. Barrier functions help overcome some of the main technical difficulties when working with lower semicontinuous functions.

Author information

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Keywords

  • Subdifferential
  • monotonicity
  • convex function
  • barrier function

Mathematics Subject Classification

49J52, 47H05, 52A41

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Suggested citation

M. Ivanov, N. Zlateva. “Barrier Functions in Subdifferential Theory.” Journal of Convex Analysis 27 (2020), No. 4, 1091–1098. https://doi.org/10.68381/jca27057

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Published by Heldermann Verlag, 2020. Rights now held by Banach Press LLC.