Vector variational principle

被引：0

作者：

Ewa M. Bednarczuk

Dariusz Zagrodny

机构：

[1] Cardinal Stefan Wyszyński University,Systems Research Institute

[2] Polish Academy of Sciences,undefined

来源：

Archiv der Mathematik | 2009年 / 93卷

关键词：

58E30; 58E17; 65K10; Vector variational principle; Countably orderable sets; Németh approximate solutions; Ekeland’s variational principle;

D O I：

暂无

中图分类号：

学科分类号：

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：9

共 33 条

[21] Georgiev P.G.(1992)A generalization of Ekeland’s variational principle Optimization 25 129-141
[22] Göpfert A.(undefined)undefined undefined undefined undefined-undefined
[23] Tammer C.(undefined)undefined undefined undefined undefined-undefined
[24] Zalinescu C.(undefined)undefined undefined undefined undefined-undefined
[25] Isac G.(undefined)undefined undefined undefined undefined-undefined
[26] Isac G.(undefined)undefined undefined undefined undefined-undefined
[27] Tammer C.(undefined)undefined undefined undefined undefined-undefined
[28] Németh A.B.(undefined)undefined undefined undefined undefined-undefined
[29] Oettli W.(undefined)undefined undefined undefined undefined-undefined
[30] Théra M.(undefined)undefined undefined undefined undefined-undefined

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