Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 61, No. 3, pp. 317-327 (2004)

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Optimality conditions and duality theorems for nonlipschitz optimization problems

N. Gadhi

B.P. 3536, Amerchich, Marrakech -- MOROCCO
E-mail: n.gadhi@ucam.ac.ma , ngadhi@math.net

Abstract: In this paper, we are concerned with a multiobjective optimization problem $(P)$. Using a notion of approximation derived from Jourani and Thibault, we give necessary and sufficient optimality conditions for $(P)$. We establish also duality theorems.

Keywords: approximation; duality; weak efficient solution; pseudoinvexity; quasiinvexity.

Classification (MSC2000): 90C29.; 49K30.

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Electronic version published on: 7 Mar 2008.

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