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...

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Veröffentlicht in:Journal of global optimization Jg. 57; H. 4; S. 1229 - 1243
Hauptverfasser: Chuong, Thai Doan, Yao, Jen-Chih
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Boston Springer US 01.12.2013
Springer
Springer Nature B.V
Schlagworte:
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
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung: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.
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ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-012-0025-y