Ekeland's principle for vector equilibrium problem

Monica Bianchi; Rita Pini; G. Kassay; R. Pini

doi:10.1016/j.na.2006.02.003

Ekeland's principle for vector equilibrium problem

Monica Bianchi, Rita Pini, G. Kassay, R. Pini

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

60 Citazioni (Scopus)

Abstract

In this paper, the authors deal with bifunctions defined on complete metric spaces and with values in locally convex spaces ordered by closed convex cones. The aim is to provide a vector version of Ekeland’s theorem related to equilibrium problems. To prove this principle, a weak notion of continuity of a vectorvalued function is considered, and some of its properties are presented. Via the vector Ekeland’s principle, existence results for vector equilibria are proved in both compact and noncompact domains.

Lingua originale	English
pagine (da-a)	1454-1464
Numero di pagine	11
Rivista	NONLINEAR ANALYSIS
Volume	2007
DOI	https://doi.org/10.1016/j.na.2006.02.003
Stato di pubblicazione	Pubblicato - 2007

Keywords

Ekeland's principle
quasi lower semicontinuity
vector equilibrium problem

Accesso al documento

10.1016/j.na.2006.02.003

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abstract = "In this paper, the authors deal with bifunctions defined on complete metric spaces and with values in locally convex spaces ordered by closed convex cones. The aim is to provide a vector version of Ekeland{\textquoteright}s theorem related to equilibrium problems. To prove this principle, a weak notion of continuity of a vectorvalued function is considered, and some of its properties are presented. Via the vector Ekeland{\textquoteright}s principle, existence results for vector equilibria are proved in both compact and noncompact domains.",

keywords = "Ekeland's principle, quasi lower semicontinuity, vector equilibrium problem, Ekeland's principle, quasi lower semicontinuity, vector equilibrium problem",

author = "Monica Bianchi and Rita Pini and G. Kassay and R. Pini",

year = "2007",

doi = "10.1016/j.na.2006.02.003",

language = "English",

volume = "2007",

pages = "1454--1464",

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T1 - Ekeland's principle for vector equilibrium problem

AU - Bianchi, Monica

AU - Pini, Rita

AU - Kassay, G.

AU - Pini, R.

PY - 2007

Y1 - 2007

N2 - In this paper, the authors deal with bifunctions defined on complete metric spaces and with values in locally convex spaces ordered by closed convex cones. The aim is to provide a vector version of Ekeland’s theorem related to equilibrium problems. To prove this principle, a weak notion of continuity of a vectorvalued function is considered, and some of its properties are presented. Via the vector Ekeland’s principle, existence results for vector equilibria are proved in both compact and noncompact domains.

AB - In this paper, the authors deal with bifunctions defined on complete metric spaces and with values in locally convex spaces ordered by closed convex cones. The aim is to provide a vector version of Ekeland’s theorem related to equilibrium problems. To prove this principle, a weak notion of continuity of a vectorvalued function is considered, and some of its properties are presented. Via the vector Ekeland’s principle, existence results for vector equilibria are proved in both compact and noncompact domains.

KW - Ekeland's principle

KW - quasi lower semicontinuity

KW - vector equilibrium problem

KW - Ekeland's principle

KW - quasi lower semicontinuity

KW - vector equilibrium problem

UR - http://hdl.handle.net/10807/35737

U2 - 10.1016/j.na.2006.02.003

DO - 10.1016/j.na.2006.02.003

M3 - Article

VL - 2007

SP - 1454

EP - 1464

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

SN - 0362-546X

ER -