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

Electronic source:

application/pdf

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