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
