Abstract

Ordinary distance functions, oriented distance functions and farthest distance functions are characterized in terms of convex conjugates and Fenchel subdifferentials.

Author information

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

Juan Enrique Martínez-Legaz

(1) Department d'Economia i d'Història Econòmica, Universitat Autònoma de Barcelona, Barcelona, Spain
(2) Barcelona Graduate School of Mathematics, Barcelona, Spain

juanenrique.martinez.legaz@uab.cat

Keywords

  • Distance function
  • oriented distance function
  • farthest distance function
  • Fenchel conjugate
  • Fenchel subdifferential

Mathematics Subject Classification

46B20, 26B25

Suggested citation

J. E. Martínez-Legaz. “Dual Characterizations of Three Distance Functions.” Journal of Convex Analysis 31 (2024), No. 4, 1203–1212. https://doi.org/10.68381/jca31059

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Published by Heldermann Verlag, 2024. Rights now held by Banach Press.