Farkas-type theorems for positively homogeneous semi-infinite systems
Marco A. López, Juan Enrique Martínez-Legaz · Optimization · 2005
This article deals with systems of infinitely many inequalities involving functions that are positively homogeneous over a nonempty convex cone of the Euclidean space. Generalized convex conjugation theory is applied to derive a Farkas-type and a Gale-type theorem for this kind of systems. These results are particularized for linear and min-type inequality systems.