An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems
- Goberna Torrent, Miguel Ángel
- López Cerdá, Marco A.
- Pastor Ciurana, Jesús T.
- Vercher González, Enriqueta
ISSN: 0041-0241
Año de publicación: 1984
Volumen: 35
Número: 1
Páginas: 32-47
Tipo: Artículo
Otras publicaciones en: Trabajos de estadística e investigación operativa
Resumen
We propose new alternative theorems for convex infinite systems which constitute the generalization of the corresponding to Gale, Farkas, Gordan and Motzkin. By means of these powerful results we establish new approaches to the Theory of Infinite Linear Inequality Systems, Perfect Duality, Semi-infinite Games and Optimality Theory for non-differentiable convex Semi-Infinite Programming Problem