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.