Metric Subregularity in Generalized Equations

Matthieu Maréchal ()
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Matthieu Maréchal: Universidad Diego Portales

Journal of Optimization Theory and Applications, 2018, vol. 176, issue 3, No 2, 558 pages

Abstract: 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.

Keywords: Metric subregularity; Nonsmooth analysis; Generalized equation; 90C31; 49K40 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10957-018-1246-0

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