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...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Journal of optimization theory and applications Ročník 153; číslo 1; s. 98 - 122
Hlavný autor: Qui, Nguyen Thanh
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Boston Springer US 01.04.2012
Springer Nature B.V
Predmet:
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
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí: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 result leads to an upper estimate for values of the Mordukhovich coderivative of such mappings. On the basis, new results on solution stability of parametric affine variational inequalities under nonlinear perturbations are derived.
Bibliografia:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-011-9937-9