On the \(C\)-Lipschitz continuities and \(C\)-approximations of multivalued mappings

Authors: Nguyễn Xuân Tấn, Nguyễn Bá Minh,

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Publisher, magazine: ,

Publication year: 2002

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Abstract

Summary: The notions of locally, locally upper and locally lower \(C\)-Lipschitz continuities of multivalued mappings at a given point are introduced and some properties of these mappings are provided. Further, we define locally \(C\)-approximations, upper and lower contingent derivatives of a multivalued mapping and derive some necessary and sufficient conditions for multiobjective optimization problems.

Tags: cone; multivalued vector mappings; \(C\)-Lipschitz continuities; contingent derivatives; multiobjective optimization problems