On Gauge Functions for Convex Cones with Possibly Empty Interiors

Sorin-Mihai Grad

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.

Author information

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

Sorin-Mihai Grad

Faculty of Mathematics, University of Technology, 09107 Chemnitz, Germany

grad@mathematik.tu-chemnitz.de

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.