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Conjugate duality for multiobjective composed optimization problems.
- Source :
- Acta Mathematica Hungarica; Sep2007, Vol. 116 Issue 3, p177-196, 20p
- Publication Year :
- 2007
-
Abstract
- Given a multiobjective optimization problem with the components of the objective function as well as the constraint functions being composed convex functions, we introduce, by using the Fenchel-Moreau conjugate of the functions involved, a suitable dual problem. Under a standard constraint qualification and some convexity as well as monotonicity conditions we prove the existence of strong duality. Finally, some particular cases of this problem are presented. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02365294
- Volume :
- 116
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Acta Mathematica Hungarica
- Publication Type :
- Academic Journal
- Accession number :
- 25765427
- Full Text :
- https://doi.org/10.1007/s10474-007-4273-0