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Differential and sensitivity properties of gap functions for Minty vector variational inequalities. (English) Zbl 1120.49007

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

MSC:

49J40 Variational inequalities
49K40 Sensitivity, stability, well-posedness
49K27 Optimality conditions for problems in abstract spaces
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