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. © 2005 Taylor & Francis Group Ltd.
|Publication status||Published - 1 Aug 2005|
- Farkas-type theorems
- Generalized convex conjugation
- Linear systems
- Min-type systems
- Positively homogeneous functions
- Semi-infinite inequality systems