The paper studies convex radiant sets (i.e. containing the origin) of a linear normed space X and their representation by means of a gauge. By gauge of a convex radiant set C c X we mean a sublinear function p : X == R such that C = [p <= 1]. Besides the most important instance, namely the Minkowski gauge mC(x) = inf {l > 0 : x e lC}, the set C may have other gauges, which are...</=>

An open question in the study of quasiconvex function is the characterization of the class of functions which are sum of quasiconvex functions. In this paper we restrict our attention to quasiconvex radiant functions, i.e. those whose level sets are radiant as well as convex and deal with the...

This paper deals with a portfolio selection model in which the methodologies of robust optimization are used for the minimization of the conditional value at risk of a portfolio of shares. Conditional value at risk, being in essence the mean shortfall at a specified confidence level, is a...