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Lagrange multipliers and saddle points in multiobjective programming. (English) Zbl 0823.90107

This paper presents some characterizations of “subconvexlike” vector functions, that is, functions which are convexlike with respect to the interior of the underlying ordering cone. Then it provides existence conditions for Lagrange multipliers of a subconvexlike multiobjective problem and for weak saddle points of the associated Lagrange function.

MSC:

90C29 Multi-objective and goal programming

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