In this paper, we study the effects of a linear transformation on the partial order relations that are generated by a closed and convex cone in a finite-dimensional space. Sufficient conditions are provided for a transformation preserving a given order. They are applied to derive the relationship between the efficient set of a set and its image under a linear transformation, to characterize generalized convex vector functions by using order-preserving transformations, to establish some calculus rules for the subdifferential of a convex vector function, and develop an optimality condition for a convex vector problem.
|Autori interni:||CAMBINI, ALBERTO|
|Autori:||CAMBINI A.; LUC D.T.; MARTEIN L|
|Titolo:||Order preserving transformations and applications|
|Anno del prodotto:||2003|
|Digital Object Identifier (DOI):||10.1023/A:1025495204834|
|Appare nelle tipologie:||1.1 Articolo in rivista|