Sectionwise connected sets in vector optimization

Enrico Miglierina; E. Miglierina; E. Molho

doi:10.1016/j.orl.2009.03.012

Sectionwise connected sets in vector optimization

Enrico Miglierina, E. Miglierina, E. Molho

Risultato della ricerca: Contributo in rivista › Articolo in rivista › peer review

5 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	295-298
Numero di pagine	4
Rivista	Operations Research Letters
Volume	37
DOI	https://doi.org/10.1016/j.orl.2009.03.012
Stato di pubblicazione	Pubblicato - 2009

Keywords

generalized convexity
stability
vector optimization

Accesso al documento

10.1016/j.orl.2009.03.012

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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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author = "Enrico Miglierina and E. Miglierina and E. Molho",

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pages = "295--298",

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T1 - Sectionwise connected sets in vector optimization

AU - Miglierina, Enrico

AU - Miglierina, E.

AU - Molho, E.

PY - 2009

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N2 - 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.

AB - 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.

KW - generalized convexity

KW - stability

KW - vector optimization

KW - generalized convexity

KW - stability

KW - vector optimization

UR - http://hdl.handle.net/10807/1379

UR - http://www.sciencedirect.com/science/article/pii/s0167637709000522

U2 - 10.1016/j.orl.2009.03.012

DO - 10.1016/j.orl.2009.03.012

M3 - Article

VL - 37

SP - 295

EP - 298

JO - Operations Research Letters

JF - Operations Research Letters

SN - 0167-6377

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