Well-posedness and scalarization in vector optimization

Enrico Miglierina; E. Miglierina; E. Molho; M. Rocca

doi:10.1007/s10957-005-4723-1

Well-posedness and scalarization in vector optimization

Enrico Miglierina, E. Miglierina, E. Molho, M. Rocca

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

61 Citazioni (Scopus)

Abstract

In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.

Lingua originale	English
pagine (da-a)	391-409
Numero di pagine	19
Rivista	Journal of Optimization Theory and Applications
Volume	126
DOI	https://doi.org/10.1007/s10957-005-4723-1
Stato di pubblicazione	Pubblicato - 2005

Keywords

Generalized convexity
Nonlinear scalarization
Vector optimization problems
Well-posedness

Accesso al documento

10.1007/s10957-005-4723-1

Altri file e collegamenti

Fingerprint Entra nei temi di ricerca di 'Well-posedness and scalarization in vector optimization'. Insieme formano una fingerprint unica.

Cita questo

@article{86a72aa3f8544282aacbf2cb4af150ca,

title = "Well-posedness and scalarization in vector optimization",

abstract = "In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.",

keywords = "Generalized convexity, Nonlinear scalarization, Vector optimization problems, Well-posedness, Generalized convexity, Nonlinear scalarization, Vector optimization problems, Well-posedness",

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

year = "2005",

doi = "10.1007/s10957-005-4723-1",

language = "English",

volume = "126",

pages = "391--409",

journal = "Journal of Optimization Theory and Applications",

issn = "0022-3239",

publisher = "Plenum Press:Book Customer Service, 233 Spring Street:New York, NY 10013:(212)620-8471, (212)620-8000, EMAIL: info@plenum.com, INTERNET: http://www.plenum.com, Fax: (212)807-1047",

}

TY - JOUR

T1 - Well-posedness and scalarization in vector optimization

AU - Miglierina, Enrico

AU - Miglierina, E.

AU - Molho, E.

AU - Rocca, M.

PY - 2005

Y1 - 2005

N2 - In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.

AB - In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.

KW - Generalized convexity

KW - Nonlinear scalarization

KW - Vector optimization problems

KW - Well-posedness

KW - Generalized convexity

KW - Nonlinear scalarization

KW - Vector optimization problems

KW - Well-posedness

UR - http://hdl.handle.net/10807/1826

UR - http://www.springerlink.com/content/j471864n5p56ggl2/

U2 - 10.1007/s10957-005-4723-1

DO - 10.1007/s10957-005-4723-1

M3 - Article

VL - 126

SP - 391

EP - 409

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

SN - 0022-3239

ER -