Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces

J. J. Wang; W. Song

doi:10.1155/2014/596582

Abstract and Applied Analysis (Jan 2014)

Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces

J. J. Wang,
W. Song

Affiliations

J. J. Wang: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China
W. Song: Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

DOI: https://doi.org/10.1155/2014/596582
Journal volume & issue: Vol. 2014

Abstract

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We mainly present several equivalent characterizations of the strong metric subregularity of the Mordukhovich subdifferential for an extended-real-valued lower semicontinuous, prox-regular, and subdifferentially continuous function acting on an Asplund space.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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