Abstract
AbstractWe show that under a separation property, a $${{{\mathcal {Q}}}}$$
Q
-minimal point in a normed space is the minimum of a given sublinear function. This fact provides sufficient conditions, via scalarization, for nine types of proper efficient points; establishing a characterization in the particular case of Benson proper efficient points. We also obtain necessary and sufficient conditions in terms of scalarization for approximate Benson and Henig proper efficient points. The separation property we handle is a variation of another known property and our scalarization results do not require convexity or boundedness assumptions.
Funder
Ministerio de Economía y Competitividad
Ministerio de Ciencia e Innovación
Publisher
Springer Science and Business Media LLC
Subject
Management Science and Operations Research,General Mathematics,Software