Abstract
We introduce various notions of well-posedness for a family of variational inequalities and for an optimization problem with constraints defined by variational inequalities having a unique solution. Then, we give sufficient conditions for well-posedness of these problems and we present an application to an exact penalty method.
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Lignola, M.B., Morgan, J. Well-posedness for Optimization Problems with Constraints defined by Variational Inequalities having a unique solution. Journal of Global Optimization 16, 57–67 (2000). https://doi.org/10.1023/A:1008370910807
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DOI: https://doi.org/10.1023/A:1008370910807