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

Electronic source:

application/pdf

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