- HIGHER-ORDER METRIC SUBREGULARITY AND ITS APPLICATIONS Boris S. Mordukhovich(borismath.wayne.edu) Wei Ouyang(weiwayne.edu) 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. Keywords: variational analysis, metric subregularity and strong subregularity of higher order, Newton and quasi-Newton methods, generalized normals and subdifferentials Category 1: Nonlinear Optimization Citation: Wayne State University, July,2014 Download: [PDF]Entry Submitted: 07/14/2014Entry Accepted: 07/14/2014Entry Last Modified: 07/14/2014Modify/Update this entry Visitors Authors More about us Links Subscribe, Unsubscribe Digest Archive Search, Browse the Repository Submit Update Policies Coordinator's Board Classification Scheme Credits Give us feedback Optimization Journals, Sites, Societies Optimization Online is supported by the Mathematical Optmization Society.