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.
Proponemos nuevos teoremas de alternativa para sistemas infinitos convexos que constituyen la generalización de los correspondientes de Gale, Farkas, Gordan y Motzkin. Utilizando estos poderosos resultados se establecen nuevos enfoques de la teoría de sistemas infinitos de desigualdades lineales, dualidad perfecta, juegos semi-infinitos y de la teoría de la optimalidad para un problema de Programación Semi-Infinita convexa no diferenciable.
@article{urn:eudml:doc:40760,
title = {An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems.},
journal = {Trabajos de Estad\'\i stica e Investigaci\'on Operativa},
volume = {35},
year = {1984},
pages = {32-47},
zbl = {0734.90103},
mrnumber = {MR0829910},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40760}
}
Goberna, Miguel Angel; López Cerdá, Marco A.; Pastor, Jesús; Vercher, Enriqueta. An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems.. Trabajos de Estadística e Investigación Operativa, Tome 35 (1984) pp. 32-47. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40760/