We introduce the notion of sectionwise connected set as a new tool to investigate nonconvex vector optimization. Indeed, the image of a K-convex set through a K-quasiconnected vector function is proved to be sectionwise connected. Some properties of the minimal frontiers of sectionwise connected sets are studied.

Sectionwise connected sets in vector optimization

MIGLIERINA, ENRICO;
2009

Abstract

We introduce the notion of sectionwise connected set as a new tool to investigate nonconvex vector optimization. Indeed, the image of a K-convex set through a K-quasiconnected vector function is proved to be sectionwise connected. Some properties of the minimal frontiers of sectionwise connected sets are studied.
Vector optimization; Generalized convexity; Stability
Miglierina, Enrico; Molho, E.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11383/14395
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