Coderivatives of implicit multifunctions and stability of variational systems

We establish formulas for computing/estimating the regular and Mordukhovich coderivatives of implicit multifunctions defined by generalized equations in Asplund spaces. These formulas are applied to obtain conditions for solution stability of parametric variational systems over perturbed smooth-boun...

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Bibliographic Details
Published in:Journal of global optimization Vol. 65; no. 3; pp. 615 - 635
Main Author: Qui, Nguyen Thanh
Format: Journal Article
Language:English
Published: New York Springer US 01.07.2016
Springer
Springer Nature B.V
Subjects:
Analysis
Banach spaces
Boundary value problems
Computation
Computer Science
Estimating
Estimating techniques
Formulas (mathematics)
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Numerical analysis
Operations Research/Decision Theory
Optimization
Real Functions
Stability
Studies
Variational system
49J53
49J52
Coderivative
Generalized equation
49J40
Implicit multifunction
Normal cone operator
Local Lipschitz-like property
ISSN:0925-5001, 1573-2916
Online Access:Get full text
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Summary:We establish formulas for computing/estimating the regular and Mordukhovich coderivatives of implicit multifunctions defined by generalized equations in Asplund spaces. These formulas are applied to obtain conditions for solution stability of parametric variational systems over perturbed smooth-boundary constraint sets.
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ISSN:0925-5001
1573-2916
DOI:10.1007/s10898-015-0387-z