Coderivatives of normal cone mappings and Lipschitzian stability of parametric variational inequalities

In this paper, we provide a comprehensive study of coderivative formulas for normal cone mappings. This allows us to derive necessary and sufficient conditions for the Lipschitzian stability of parametric variational inequalities in reflexive Banach spaces. Our development not only gives an answer t...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 73; no. 7; pp. 2271 - 2282
Main Author:	Nam, Nguyen Mau
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 01.10.2010 Elsevier
Subjects:	Banach space Calculus of variations and optimal control Coderivatives Complement Exact sciences and technology Functional analysis Generalized differentiation Global analysis, analysis on manifolds Inequalities Lipschitzian stability Mapping Mathematical analysis Mathematics Nonlinearity Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Parametric variational inequalities Polyhedral sets Reflexive Banach spaces Sciences and techniques of general use Stability Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Variational analysis and optimization Variational analysis and optimization Polyhedral sets Parametric variational inequalities 49J52 49K40 Reflexive Banach spaces 58C20 Lipschitzian stability Generalized differentiation Coderivatives Nonlinear analysis Optimization method Banach space Variational inequality Parametricvariational inequalities Mathematical model Numerical stability
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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