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

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.

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Main Authors: J. J. Wang, W. Song
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/596582
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author J. J. Wang
W. Song
author_facet J. J. Wang
W. Song
author_sort J. J. Wang
collection DOAJ
description 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.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-75291496fdbe4dbc99f5c8bbf5a140fd2025-02-03T01:02:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/596582596582Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund SpacesJ. J. Wang0W. Song1Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaWe 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.http://dx.doi.org/10.1155/2014/596582
spellingShingle J. J. Wang
W. Song
Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces
Abstract and Applied Analysis
title Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces
title_full Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces
title_fullStr Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces
title_full_unstemmed Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces
title_short Characterization of the Strong Metric Subregularity of the Mordukhovich Subdifferential on Asplund Spaces
title_sort characterization of the strong metric subregularity of the mordukhovich subdifferential on asplund spaces
url http://dx.doi.org/10.1155/2014/596582
work_keys_str_mv AT jjwang characterizationofthestrongmetricsubregularityofthemordukhovichsubdifferentialonasplundspaces
AT wsong characterizationofthestrongmetricsubregularityofthemordukhovichsubdifferentialonasplundspaces