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Optimality Conditions for D.C. Vector Optimization Problems under D.C. Constraints

Gadhi, N.; Metrane, A. — 2004

Serdica Mathematical Journal

2000 Mathematics Subject Classification: Primary 90C29; Secondary 49K30. In this paper, we establish necessary optimality conditions and sufficient optimality conditions for D.C. vector optimization problems under D.C. constraints. Under additional conditions, some results of [9] and [15] are also recovered.

Optimisation d’une fonction linéaire sur l’ensemble des solutions efficaces d’un problème multicritère quadratique convexe

K. Belkeziz; A. Metrane — 2004

Annales mathématiques Blaise Pascal

Dans ce papier, nous caractérisons l’ensemble des points efficients d’un problème de programmation multicritère quadratique convexe. Nous ramenons ainsi le problème de la minimisation d’une fonction linéaire sur l’ensemble des points efficients à la résolution d’un problème de programmation fractionnaire.

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