Stability of p-order metric regularity
Yiran He (yiranhehotmail.com)
Abstract: This paper shows that $p$-order metric regularity is preserved under perturbation of H\"older continuous mapping of order $1/p$, which answers affirmatively a problem posed recently by Dontchev.
Keywords: $p$-order metric regularity; perturbation; fixed point theorem.
Category 1: Convex and Nonsmooth Optimization (Nonsmooth Optimization )
Citation: Technical report, Department of Mathematics, Chinese University of Hong Kong, 07/2015
Entry Submitted: 07/13/2015
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