Variational inequalities over Euclidean balls

This paper investigates solution stability of parametric variational inequalities over Euclidean balls in finite dimensional spaces. We provide exact formulas for computing required coderivatives of the normal cone mappings to Euclidean balls via the initial data. On the basis of these formulas, we...

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Bibliographic Details
Published in:Mathematical methods of operations research (Heidelberg, Germany) Germany), 2013-10, Vol.78 (2), p.243-258
Main Author: Qui, Nguyen Thanh
Format: Article
Language:English
Subjects:
Business and Management
Calculus of Variations and Optimal Control
Optimization
Dimensional stability
Inequalities
Mapping
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Operations research
Operations Research/Decision Theory
Original Article
Stability
Studies
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Summary:This paper investigates solution stability of parametric variational inequalities over Euclidean balls in finite dimensional spaces. We provide exact formulas for computing required coderivatives of the normal cone mappings to Euclidean balls via the initial data. On the basis of these formulas, we establish necessary and sufficient conditions for Lipschitzian stability of the solution maps of the aforementioned variational inequalities.
ISSN:1432-2994
1432-5217
DOI:10.1007/s00186-013-0442-9