Fréchet subdifferentials of efficient point multifunctions in parametric vector optimization

In this paper, we establish new formulae for computing and/or estimating the Fréchet subdifferential of the efficient point multifunction of a parametric vector optimization problem. These formulae are presented in a broad class of conventional vector optimization problems with the presence of geome...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Journal of global optimization Ročník 57; číslo 4; s. 1229 - 1243
Hlavní autoři: Chuong, Thai Doan, Yao, Jen-Chih
Médium: Journal Article
Jazyk:angličtina
Vydáno: Boston Springer US 01.12.2013
Springer
Springer Nature B.V
Témata:
Applied mathematics
Banach spaces
Computation
Computer Science
Estimating
Mathematical analysis
Mathematical functions
Mathematics
Mathematics and Statistics
Operations Research/Decision Theory
Operators
Optimization
Real Functions
Sensitivity analysis
Studies
Vectors (mathematics)
90C31
Fréchet subdifferential
Sensitivity analysis
49K40
49J52
Fréchet coderivative
90C29
Efficient point multifunction
Parametric vector optimization
ISSN:0925-5001, 1573-2916
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:In this paper, we establish new formulae for computing and/or estimating the Fréchet subdifferential of the efficient point multifunction of a parametric vector optimization problem. These formulae are presented in a broad class of conventional vector optimization problems with the presence of geometric, operator and (finite and infinite) functional constraints.
Bibliografie:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-012-0025-y