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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