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Increasing-along-rays property for vector functions. (English) Zbl 1149.49008
Summary: We extend to the vector case the notion of increasing-along-rays function. The proposed definition is given by means of a nonlinear scalarization through the so-called oriented distance function from a point to a set.
We prove that the considered class of functions enjoys properties similar to those holding in the scalar case, with regard to optimization problems, relations with (generalized) convex functions and characterization in terms of Minty type variational inequalities.

MSC:
49J40 Variational inequalities
49J53 Set-valued and variational analysis
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