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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Bibliographic Details
Published in:Journal of global optimization Vol. 57; no. 4; pp. 1229 - 1243
Main Authors: Chuong, Thai Doan, Yao, Jen-Chih
Format: Journal Article
Language:English
Published: Boston Springer US 01.12.2013
Springer
Springer Nature B.V
Subjects:
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 Access:Get full text
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Summary: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