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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Vydané v:Journal of global optimization Ročník 65; číslo 3; s. 615 - 635
Hlavný autor: Qui, Nguyen Thanh
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: New York Springer US 01.07.2016
Springer
Springer Nature B.V
Predmet:
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
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Abstract 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.
AbstractList 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.
Audience Academic
Author Qui, Nguyen Thanh
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CitedBy_id crossref_primary_10_1007_s11228_022_00653_0
crossref_primary_10_1007_s10957_018_1294_5
crossref_primary_10_1007_s10957_018_1295_4
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10.1016/j.na.2010.06.007
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Keywords Variational system
49J53
49J52
Coderivative
Generalized equation
49J40
Implicit multifunction
Normal cone operator
Local Lipschitz-like property
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PublicationSubtitle An International Journal Dealing with Theoretical and Computational Aspects of Seeking Global Optima and Their Applications in Science, Management and Engineering
PublicationTitle Journal of global optimization
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SubjectTerms 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
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Title Coderivatives of implicit multifunctions and stability of variational systems
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