Generalized convexity and well-posedness in vector optimization

Enrico Miglierina; E. Molho

Generalized convexity and well-posedness in vector optimization

Risultato della ricerca: Contributo in libro › Contributo a convegno

Abstract

We introduce a class of generalized convex vector valued functions, named K-quasiconnected functions, that contains, as a special case, the classical K-quasiconvex functions. The main results concerns the well-posedness of K-quasiconnected problems: moreover, under strict K-quasiconnectedness, we obtain the well-posedness of weak solutions.

Lingua originale	English
Titolo della pubblicazione ospite	Recent advances in optimization
Pagine	131-138
Numero di pagine	8
Volume	-
Stato di pubblicazione	Pubblicato - 2003
Evento	Recent Advances in Optimization - Varese Durata: 13 giu 2002 → 14 giu 2002

Workshop

Workshop	Recent Advances in Optimization
Città	Varese
Periodo	13/6/02 → 14/6/02

Keywords

Hausdorff set-convergence
generalized convexity
stability
vector optimization
well-posedness

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title = "Generalized convexity and well-posedness in vector optimization",

abstract = "We introduce a class of generalized convex vector valued functions, named K-quasiconnected functions, that contains, as a special case, the classical K-quasiconvex functions. The main results concerns the well-posedness of K-quasiconnected problems: moreover, under strict K-quasiconnectedness, we obtain the well-posedness of weak solutions.",

keywords = "Hausdorff set-convergence, generalized convexity, stability, vector optimization, well-posedness, Hausdorff set-convergence, generalized convexity, stability, vector optimization, well-posedness",

author = "Enrico Miglierina and E. Molho",

year = "2003",

language = "English",

isbn = "88 86988 48 6",

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booktitle = "Recent advances in optimization",

note = "Recent Advances in Optimization ; Conference date: 13-06-2002 Through 14-06-2002",

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T1 - Generalized convexity and well-posedness in vector optimization

AU - Miglierina, Enrico

AU - Molho, E.

PY - 2003

Y1 - 2003

N2 - We introduce a class of generalized convex vector valued functions, named K-quasiconnected functions, that contains, as a special case, the classical K-quasiconvex functions. The main results concerns the well-posedness of K-quasiconnected problems: moreover, under strict K-quasiconnectedness, we obtain the well-posedness of weak solutions.

AB - We introduce a class of generalized convex vector valued functions, named K-quasiconnected functions, that contains, as a special case, the classical K-quasiconvex functions. The main results concerns the well-posedness of K-quasiconnected problems: moreover, under strict K-quasiconnectedness, we obtain the well-posedness of weak solutions.

KW - Hausdorff set-convergence

KW - generalized convexity

KW - stability

KW - vector optimization

KW - well-posedness

KW - Hausdorff set-convergence

KW - generalized convexity

KW - stability

KW - vector optimization

KW - well-posedness

UR - http://hdl.handle.net/10807/1452

M3 - Conference contribution

SN - 88 86988 48 6

VL - -

SP - 131

EP - 138

BT - Recent advances in optimization

T2 - Recent Advances in Optimization

Y2 - 13 June 2002 through 14 June 2002

ER -

Generalized convexity and well-posedness in vector optimization

Abstract

Workshop

Keywords

Altri file e collegamenti

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