Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities

This paper establishes an upper estimate for the Fréchet normal cone to the graph of the nonlinearly perturbed polyhedral normal cone mappings in finite dimensional spaces. Under a positive linear independence assumption on the normal vectors of the active constraints at the point in question, the r...

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Bibliographic Details
Published in:	Journal of optimization theory and applications Vol. 153; no. 1; pp. 98 - 122
Main Author:	Qui, Nguyen Thanh
Format:	Journal Article
Language:	English
Published:	Boston Springer US 01.04.2012 Springer Nature B.V
Subjects:	Applications of Mathematics Banach spaces Calculus of Variations and Optimal Control; Optimization Engineering Estimates Inequalities Inequality Mapping Mathematical analysis Mathematics Mathematics and Statistics Nonlinearity Operations Research/Decision Theory Optimization Perturbation methods Studies Theory of Computation Vectors (mathematics) Nonlinear perturbation Mordukhovich coderivative Estimate Fréchet normal cone Limiting normal cone Polyhedral normal cone mapping Parametric affine variational inequality
ISSN:	0022-3239, 1573-2878
Online Access:	Get full text
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