Sectionwise connected sets in vector optimization

Sectionwise connected sets in vector optimization

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Article ID: iaor20102979
Volume: 37
Issue: 4
Start Page Number: 295
End Page Number: 298
Publication Date: Jul 2009
Journal: Operations Research Letters
Authors: ,
Keywords: vector optimization
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.

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