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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Wiley
2014-01-01
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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. |
format | Article |
id | doaj-art-75291496fdbe4dbc99f5c8bbf5a140fd |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |