An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems

1. Goberna Torrent, Miguel Ángel
2. López Cerdá, Marco A.
3. Pastor Ciurana, Jesús T.
4. Vercher González, Enriqueta

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DOI: 10.1007/BF02888777 DIALNET GOOGLE SCHOLAR lock_openOpen access editor

More publications in: Trabajos de estadística e investigación operativa

Abstract

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

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