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

Miguel Angel Goberna; Marco A. López Cerdá; Jesús Pastor; Enriqueta Vercher

Trabajos de Estadística e Investigación Operativa (1984)

- Volume: 35, Issue: 1, page 32-47
- ISSN: 0041-0241

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topGoberna, Miguel Angel, et al. "An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems.." Trabajos de Estadística e Investigación Operativa 35.1 (1984): 32-47. <http://eudml.org/doc/40760>.

@article{Goberna1984,

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.},

author = {Goberna, Miguel Angel, López Cerdá, Marco A., Pastor, Jesús, Vercher, Enriqueta},

journal = {Trabajos de Estadística e Investigación Operativa},

keywords = {Optimización; Programación semiinfinita; Funciones convexas; alternative theorems; convex infinite systems; infinite linear inequality systems; perfect duality; semi-infinite games; optimality; non- differentiable convex semi-infinite programming problems},

language = {eng},

number = {1},

pages = {32-47},

title = {An overview of semi-infinite programming theory and related topics through a generalization of the alternative theorems.},

url = {http://eudml.org/doc/40760},

volume = {35},

year = {1984},

}

TY - JOUR

AU - Goberna, Miguel Angel

AU - López Cerdá, Marco A.

AU - Pastor, Jesús

AU - Vercher, Enriqueta

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

JO - Trabajos de Estadística e Investigación Operativa

PY - 1984

VL - 35

IS - 1

SP - 32

EP - 47

AB - 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.

LA - eng

KW - Optimización; Programación semiinfinita; Funciones convexas; alternative theorems; convex infinite systems; infinite linear inequality systems; perfect duality; semi-infinite games; optimality; non- differentiable convex semi-infinite programming problems

UR - http://eudml.org/doc/40760

ER -

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