The class of increasing along rays functions is generalized to consider vector valued functions. A general approach through scalarization is used and minimal properties for the scalarization are given. The class of vector increasing along rays functions introduced is compared with the scalar one to prove similar properties hold. The relation with convex and generalized convex functions is preserved for the vector valued counterpart.
Increasing along rays vector functions
FERRENTINO, Rosa;
2008
Abstract
The class of increasing along rays functions is generalized to consider vector valued functions. A general approach through scalarization is used and minimal properties for the scalarization are given. The class of vector increasing along rays functions introduced is compared with the scalar one to prove similar properties hold. The relation with convex and generalized convex functions is preserved for the vector valued counterpart.File in questo prodotto:
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