Vector variational principle

被引：42

作者：

Bednarczuk, Ewa M. ^{[1
,2
]}

Zagrodny, Dariusz ^{[1
,2
]}

机构：

[1] Cardinal Stefan Wyszynski Univ, Warsaw, Poland

[2] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

来源：

ARCHIV DER MATHEMATIK | 2009年 / 93卷 / 06期

关键词：

Vector variational principle; Countably orderable sets; Nemeth approximate solutions; Ekeland's variational principle; PRODUCT-SPACES; PARETO EFFICIENCY; NUCLEAR CONES; POINTS;

D O I：

10.1007/s00013-009-0072-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an Ekeland's type vector variational principle for monotonically semicontinuous mappings with perturbations given by a convex bounded subset of directions multiplied by the distance function. This generalizes the existing results where directions of perturbations are singletons.

引用

页码：577 / 586

页数：10

共 24 条

[1]

[Anonymous], 1975, GEOMETRIC FUNCTIONAL

[2]

Bao TQ, 2007, CONTROL CYBERN, V36, P531

[3] The vector-valued variational principle in Banach spaces ordered by cones with nonempty interiors [J].

Bednarczuk, Ewa M. ;

Przybyla, Maciej J. .

SIAM JOURNAL ON OPTIMIZATION, 2007, 18 (03) :907-913

[4]

CAMMAROTO F, 1996, B POLISH ACAD SCI, V44, P29

[5] NON-CONVEX MINIMIZATION PROBLEMS [J].

EKELAND, I .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 1 (03) :443-474

[6] VARIATIONAL PRINCIPLE [J].

EKELAND, I .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (02) :324-353

[7]

FANG JX, 1996, J MATH ANAL APPL, V208, P389

[8] Vector-valued variational principles [J].

Finet, C ;

Quarta, L ;

Troestler, C .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (01) :197-218

[9]

Finet C., 2001, J NONLINEAR CONVEX A, V2, P167

[10]

Gajek L., 1992, Optimization, V26, P287, DOI 10.1080/02331939208843858

← 1 2 3 →