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Lagrangian duality for minimization of nonconvex multifunctions. (English) Zbl 0901.90161
Summary: Two alternative type theorems for nearly convexlike or *-quasiconvex multifunctions are presented. They are used to derive Lagrangian conditions and duality results for vector optimization problems when the objectives and the constraints are nearly convexlike or *-quasiconvex multifunctions.
MSC:
90C29Multi-objective programming; goal programming
26B25Convexity and generalizations (several real variables)