Some new Farkas-type results for inequality systems with DC functions

Authors:
Radu Ioan Boţ;Ioan Bogdan Hodrea;Gert Wanka
Affiliations:
Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany D-09107;Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany D-09107;Faculty of Mathematics, Chemnitz University of Technology, Chemnitz, Germany D-09107
Venue:
Journal of Global Optimization
Year:
2007

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Abstract

We present some Farkas-type results for inequality systems involving finitely many DC functions. To this end 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.