A new variant of Ekeland's variational principle for set-valued maps

被引：9

作者：

Huang, XX ^{[1
]}

机构：

[1] Chongqing Normal Univ, Dept Math & Comp Sci, Chongqing 400047, Peoples R China

来源：

OPTIMIZATION | 2003年 / 52卷 / 01期

关键词：

set-valued map; approximate variational principle; set-valued optimization; necessary optimality condition;

D O I：

10.1080/0233193021000058959

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：

In this article, following the idea used by Gopfert et al. [A. Gopfert, Chr. Tammer and C. Zalinescu (2000). On the vectorial Ekeland's variational principle and minimal points in-product spaces. Nonlinear Analysis, Theory, Methods & Applications, 39, 909-922] to derive an Ekeland's variational principle for vector-valued functions, we derive a new variant of Ekeland's variational principle for set-valued maps. Finally, we apply this variational principle to obtain an approximate necessary optimality condition for a class of set-valued optimization problems.

引用

页码：53 / 63

页数：11

共 50 条

[21] Approximation of continuous set-valued maps by constant set-valued maps with image balls
S. I. Dudov
A. B. Konoplev
Mathematical Notes, 2007, 82 : 469 - 473
[22] Approximation of continuous set-valued maps by constant set-valued maps with image balls
Dudov, S. I.
Konoplev, A. B.
MATHEMATICAL NOTES, 2007, 82 (3-4) : 469 - 473
[23] Generalized vector variational inequality and its duality for set-valued maps
Lee, GM
Kim, DS
Lee, BS
Chen, GY
APPLIED MATHEMATICS LETTERS, 1998, 11 (04) : 21 - 26
[24] A selection theorem for a new class of set-valued maps
Drozdovskii, SA
Filippov, VV
MATHEMATICAL NOTES, 1999, 66 (3-4) : 411 - 414
[25] A selection theorem for a new class of set-valued maps
S. A. Drozdovskii
V. V. Filippov
Mathematical Notes, 1999, 66 : 411 - 414
[26] On various entropies of set-valued maps
Wang, Xinsheng
Zhang, Yu
Zhu, Yujun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 524 (02)
[27] Convexity Criteria for Set-Valued Maps
Pham Huu Sach
Nguyen Dong Yen
Set-Valued Analysis, 1997, 5 (1): : 37 - 45
[28] METRIC ENTROPY FOR SET-VALUED MAPS
Vivas, Kendry J.
Sirvent, Victor F.
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (11): : 6589 - 6604
[29] Random Lifting of Set-Valued Maps
Capuani, Rossana
Marigonda, Antonio
Mogentale, Marta
LARGE-SCALE SCIENTIFIC COMPUTING (LSSC 2021), 2022, 13127 : 297 - 305
[30] TOPOLOGICAL ENTROPY FOR SET-VALUED MAPS
Carrasco-Olivera, Dante
Metzger Alvan, Roger
Morales Rojas, Carlos Arnoldo
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2015, 20 (10): : 3461 - 3474

← 1 2 3 4 5 →