Exact penalty functions and calmness for mathematical programming under nonlinear perturbations

In the present paper, the effects of nonlinear perturbations of constraint systems are considered over the relationship between calmness and exact penalization, within the context of mathematical programming with equilibrium constraints. Two counterexamples are provided showing that the crucial link...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 73; no. 6; pp. 1596 - 1609
Main Author:	Uderzo, A.
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Ltd 15.09.2010 Elsevier
Subjects:	Calculus of variations and optimal control Calmness Exact sciences and technology Links Mathematical analysis Mathematical programming Mathematics Metric subregularity MPEC Nonlinearity Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming Numerical methods in mathematical programming, optimization and calculus of variations Optimization Outer Lipschitz continuity Penalty function Perturbation methods Sciences and techniques of general use Value function secondary Penalty function Metric subregularity Value function Outer Lipschitz continuity MPEC Calmness primary secondary 49J53 Nonlinear analysis Non linear programming 90C48 Mathematical function 90C31 49M30 primary 90C30 Mathematical model 49K27 Mathematical programming
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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