Abstract
In this article, we study the metric subregularity of generalized equations using a new tool of nonsmooth analysis. We obtain a sufficient condition for a generalized equation to be metrically subregular, which is not a necessary condition for metric regularity, using a subtle adjustment of the Mordukhovich coderivative. We apply these results to the study of the metric subregularity in a Cournot duopoly game.
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Communicated by René Henrion.
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Maréchal, M. Metric Subregularity in Generalized Equations. J Optim Theory Appl 176, 541–558 (2018). https://doi.org/10.1007/s10957-018-1246-0
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DOI: https://doi.org/10.1007/s10957-018-1246-0