|
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 grad@mathematik.tu-chemnitz.de 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 [ Fulltext-pdf (93 KB)] for subscribers only. |