Nonlinear Perturbations of Polyhedral Normal Cone Mappings and Affine Variational Inequalities

Nguyen Thanh Qui ()
Additional contact information
Nguyen Thanh Qui: Can Tho University

Journal of Optimization Theory and Applications, 2012, vol. 153, issue 1, No 7, 98-122

Abstract: Abstract 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.

Keywords: Polyhedral normal cone mapping; Nonlinear perturbation; Fréchet normal cone; Limiting normal cone; Mordukhovich coderivative; Estimate; Parametric affine variational inequality (search for similar items in EconPapers)
Date: 2012
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-011-9937-9 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:153:y:2012:i:1:d:10.1007_s10957-011-9937-9

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-011-9937-9

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().