Abstract
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.
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This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2011.01. The author thanks the anonymous referees for their useful remarks and suggestions.
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Qui, N.T. Variational inequalities over Euclidean balls. Math Meth Oper Res 78, 243–258 (2013). https://doi.org/10.1007/s00186-013-0442-9
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DOI: https://doi.org/10.1007/s00186-013-0442-9