Sectionwise connected sets in vector optimization

E. Miglierina; Enrico Miglierina; E. Molho

doi:10.1016/j.orl.2009.03.012

Sectionwise connected sets in vector optimization

E. Miglierina
, Enrico Miglierina
, E. Molho

Risultato della ricerca: Contributo in rivista › Articolo › 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	Inglese
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

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10.1016/j.orl.2009.03.012

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title = "Sectionwise connected sets in 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.",

keywords = "generalized convexity, stability, vector optimization, generalized convexity, stability, vector optimization",

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

year = "2009",

doi = "10.1016/j.orl.2009.03.012",

language = "English",

volume = "37",

pages = "295--298",

journal = "Operations Research Letters",

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TY - JOUR

T1 - Sectionwise connected sets in vector optimization

AU - Miglierina, E.

AU - Miglierina, Enrico

AU - Molho, E.

PY - 2009

Y1 - 2009

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

SN - 0167-6377

VL - 37

SP - 295

EP - 298

JO - Operations Research Letters

JF - Operations Research Letters

ER -

Sectionwise connected sets in vector optimization

Abstract

Keywords

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