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Bot, Radu Ioan; Wanka, Gert : Farkas-type results for max-functions and applications

Bot, Radu Ioan ; Wanka, Gert : Farkas-type results for max-functions and applications

Author(s):
Bot, Radu Ioan
Wanka, Gert
Title:
Farkas-type results for max-functions and applications
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 16, 2004
Mathematics Subject Classification:
49N15 [ Duality theory ]
90C25 [ Convex programming ]
90C46 [ Optimality conditions, duality ]
Abstract:
We present some Farkas-type results for inequality systems involving finitely many convex constraints as well as convex max-functions. Therefore we use the dual of a minmax optimization problem. The main theorem and its consequences allows us to establish, as particular instances, some set containment characterizations and to rediscover some famous theorems of the alternative.
Keywords:
duality, Farkas-type results, minmax programming, set containment, theorems of the alternative
Language:
English
Publication time:
10 / 2004