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arXiv · 1507.04825

Higher-Order Metric Subregularity and Its Applications

Boris Mordukhovich·Wei Ouyang
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Abstract

This paper is devoted to the study of metric subregularity and strong subregularity of any positive order $q$ for set-valued mappings in finite and infinite dimensions. While these notions have been studied and applied earlier for $q=1$ and---to a much lesser extent---for $q\in(0,1)$, no results are available for the case $q>1$. We derive characterizations of these notions for subgradient mappings, develop their sensitivity analysis under small perturbations, and provide applications to the convergence rate of Newton-type methods for solving generalized equations.

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Boris Mordukhovich, Wei Ouyang. 2015-07-17. Higher-Order Metric Subregularity and Its Applications. https://doi.org/10.1007/s10898-015-0271-x

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