Vector variational principles for set-valued functions

被引：28

作者：

Tammer, Christiane ^{[3
]}

Zalinescu, Constantin ^{[1
,2
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

[2] Acad Romana, Octav Mayer Inst Math, Iasi 700506, Romania

[3] Univ Halle Wittenberg, Inst Math, D-06099 Halle, Saale, Germany

来源：

OPTIMIZATION | 2011年 / 60卷 / 07期

关键词：

Ekeland's variational principle; minimal points in product spaces; multifunction; bi-multifunction; cs-complete set; PRODUCT-SPACES; OPTIMIZATION; MAPPINGS;

D O I：

10.1080/02331934.2010.522712

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

Ekeland's variational principle (EVP) has many equivalent formulations and generalizations. In this article, we present new minimal point theorems in product spaces and the corresponding vector variational principles for set-valued functions. As special cases we derive many of the existing variational principles of Ekeland's type. Moreover, we use our new approach to get extensions of EVPs of Isac-Tammer and Ha types, as well as extensions of EVPs for bi-functions.

引用

页码：839 / 857

页数：19

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