Differential and sensitivity properties of gap functions for vector variational inequalities

Differential and sensitivity properties of gap functions for vector variational inequalities

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Article ID: iaor20041769
Country: Germany
Volume: 57
Issue: 3
Start Page Number: 377
End Page Number: 391
Publication Date: Jan 2003
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: , ,
Abstract:

The purpose of this paper is to investigate differential properties of a class of set-valued maps and gap functions involving vector variational inequalities. Relationships between their contingent derivatives are discussed. A formula computing contingent derivative of the gap functions is established. Optimality conditions of solutions for vector variational inequalities are obtained.

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