Abstract

We extend for cones with possibly empty interior the analysis of the gauge functions for convex cones presented in a recent note due to B. F. Svaiter, Gauge functions for convex cones, Journal of Convex Analysis 21 (2014) 851–856.

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

Keywords

  • Cones
  • gauge functions
  • quasi-relative interior
  • sublinear functions

Mathematics Subject Classification

90C29, 46N10, 42A50

Suggested citation

S.-M. Grad. “On Gauge Functions for Convex Cones with Possibly Empty Interiors.” Journal of Convex Analysis 24 (2017), No. 2, 519–524. https://doi.org/10.68381/jca24034

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Published by Heldermann Verlag, 2017. Rights now held by Banach Press.