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Journal of Convex Analysis 24 (2017), No. 2, 519--524
Copyright Heldermann Verlag 2017

On Gauge Functions for Convex Cones with Possibly Empty Interiors

Sorin-Mihai Grad
Faculty of Mathematics, University of Technology, 09107 Chemnitz, Germany

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.

Keywords: Cones, gauge functions, quasi-relative interior, sublinear functions.

MSC: 90C29, 46N10, 42A50

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