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Bot, Radu Ioan; Hodrea, Ioan Bogdan; Wanka, Gert : Some new Farkas-type results for inequality systems with DC functions

Bot, Radu Ioan ; Hodrea, Ioan Bogdan ; Wanka, Gert : Some new Farkas-type results for inequality systems with DC functions

Author(s):
Bot, Radu Ioan
Hodrea, Ioan Bogdan
Wanka, Gert
Title:
Some new Farkas-type results for inequality systems with DC functions
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 4, 2005
Mathematics Subject Classification:
90C26 [ Nonconvex programming ]
49N15 [ Duality theory ]
90C46 [ Optimality conditions, duality ]
Abstract:
We present some Farkas-type results for inequality systems involving finitely many DC functions. Therefore we use the so-called Fenchel-Lagrange duality approach applied to an optimization problem with DC objective function and DC inequality constraints. Some recently obtained Farkas-type results are rediscovered as special cases of our main result.
Keywords:
Farkas-type results, DC functions, conjugate duality
Language:
English
Publication time:
6 / 2005