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Boţ, Radu Ioan; Hodrea, Ioan Bogdan; Wanka, Gert : Farkas-type results for inequality systems with composed convex functions via conjugate duality

Boţ, Radu Ioan ; Hodrea, Ioan Bogdan ; Wanka, Gert : Farkas-type results for inequality systems with composed convex functions via conjugate duality

Author(s):
Boţ, Radu Ioan
Hodrea, Ioan Bogdan
Wanka, Gert
Title:
Farkas-type results for inequality systems with composed convex functions via conjugate duality
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 7, 2005
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 functions. Therefore we use a conjugate duality approach applied to an optimization problem with a composed convex objective function and convex inequality constraints. Some recently obtained results are rediscovered as special cases of our main result.
Keywords:
Farkas-type results, composed convex functions, conjugate functions, conjugate duality
Language:
English
Publication time:
4 / 2005