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Stability of p-order metric regularity

Yiran He (yiranhe***at***hotmail.com)
Kung Fu Ng (kfng***at***math.cuhk.edu.hk)

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

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Entry Submitted: 07/13/2015
Entry Accepted: 07/13/2015
Entry Last Modified: 01/14/2017

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