Abstract

We study, in the context of normed spaces (not necessarily Banach), equivalences between the epiconvergence of convex functions and the set-convergence of their ε-subdifferentials.

Author information

Contact details are reproduced from the original publication and may be historical.

Andrei Verona

Department of Mathematics, California State University

Maria Elena Verona

Department of Mathematics, Pasadena City College 1570 E. Colorado Blvd., Pasadena, CA 91106

Keywords

  • convex function
  • subdifferential
  • ε-subdifferential
  • slice convergence
  • Attouch-Wets convergence
  • Kuratowski-Painlevé convergence

References

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Suggested citation

A. Verona, M. E. Verona. “Epiconvergence and Epsilon-Subgradients of Convex Functions.” Journal of Convex Analysis 1 (1994), No. 1, 87–100. https://doi.org/10.68381/jca01006

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Published by Heldermann Verlag, 1994. Rights now held by Banach Press.