Journal of Global Optimization

, Volume 39, Issue 4, pp 595–608

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

Authors

    • Faculty of MathematicsChemnitz University of Technology
  • Ioan Bogdan Hodrea
    • Faculty of MathematicsChemnitz University of Technology
  • Gert Wanka
    • Faculty of MathematicsChemnitz University of Technology
Original Paper

DOI: 10.1007/s10898-007-9159-8

Cite this article as:
Boţ, R.I., Hodrea, I.B. & Wanka, G. J Glob Optim (2007) 39: 595. doi:10.1007/s10898-007-9159-8
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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.

Keywords

Farkas-type resultsDC functionsConjugate duality
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Copyright information

© Springer Science+Business Media, Inc. 2007