ON LAGRANGIAN DUALITY IN VECTOR OPTIMIZATION

被引：0

作者：

Pellegrini, Letizia ^{[1
]}

机构：

[1] Univ Verona, Dept Econ, Via Cantarane 24, I-37129 Verona, Italy

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2020年 / 21卷 / 05期

关键词：

Vector optimization; image space analysis; separation; Lagrangian duality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study, starting from a separation scheme, some aspects of Lagrangian duality for vector constrained cxtremum problems. In particular, the image space approach and separation argument are exploited to derive a duality theorem. A class of nonconvex problems fulfilling the assumptions of such a theorem is outlined. The theorem is compared with similar results available in literature.

引用

页码：1209 / 1218

页数：10

共 50 条

[1] Duality in vector optimization via augmented Lagrangian
Huy, N. Q.
Kim, D. S.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 386 (02) : 473 - 486
[2] On Lagrangian duality in vector optimization: applications to the linear case
Pagani, Elisa
OPTIMIZATION LETTERS, 2012, 6 (05) : 901 - 914
[3] On Lagrangian duality in vector optimization: applications to the linear case
Elisa Pagani
Optimization Letters, 2012, 6 : 901 - 914
[4] Duality and exact penalization for vector optimization via augmented Lagrangian
Huang, XX
Yang, XQ
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2001, 111 (03) : 615 - 640
[5] Duality and Exact Penalization for Vector Optimization via Augmented Lagrangian
X. X. Huang
X. Q. Yang
Journal of Optimization Theory and Applications, 2001, 111 : 615 - 640
[6] LAGRANGIAN DUALITY FOR VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPPINGS
Long, Xian-Jun
Peng, Jian-Wen
TAIWANESE JOURNAL OF MATHEMATICS, 2013, 17 (01): : 287 - 297
[7] DUALITY IN VECTOR OPTIMIZATION
JAHN, J
MATHEMATICAL PROGRAMMING, 1983, 25 (03) : 343 - 353
[8] Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
Yan-fei Chai
San-yang Liu
Si-qi Wang
Acta Mathematicae Applicatae Sinica, English Series, 2022, 38 : 337 - 351
[9] Optimality conditions and Lagrangian duality for vector optimization of invex set-valued functions
Song, W
CONTROL AND CYBERNETICS, 1997, 26 (01): : 69 - 85
[10] Generalized Lagrangian Duality in Set-valued Vector Optimization via Abstract Subdifferential
Yan-fei CHAI
San-yang LIU
Si-qi WANG
ActaMathematicaeApplicataeSinica, 2022, 38 (02) : 337 - 351

← 1 2 3 4 5 →