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Optimality conditions and duality theorems for non-Lipschitz optimization problems. (English) Zbl 1070.90096
Summary: We are concerned with a multiobjective optimization problem (P). Using a notion of approximation derived from A. Jourani and L. Thibault [Math. Oper. Res. 18, No. 2, 390–401 (1993; Zbl 0779.49021)] we give necessary and sufficient optimality conditions for (P). We establishe also duality theorems.
MSC:
90C29 Multi-objective and goal programming
49K30 Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
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