Characterizations of Nonsmooth Robustly Quasiconvex Functions
© 2018, Springer Science+Business Media, LLC, part of Springer Nature. Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces. The first criterion extends to such spaces a result established by Barron et al....
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Springer
2019
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| Online Access: | http://hdl.handle.net/20.500.11937/81340 |
| _version_ | 1848764350894964736 |
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| author | Bui, Hoa Khanh, P.D. Tran, T.T.T. |
| author_facet | Bui, Hoa Khanh, P.D. Tran, T.T.T. |
| author_sort | Bui, Hoa |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018, Springer Science+Business Media, LLC, part of Springer Nature. Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces. The first criterion extends to such spaces a result established by Barron et al. (Discrete Contin Dyn Syst Ser B 17:1693–1706, 2012). The second criterion is totally new even if it is applied to lower semicontinuous functions on finite-dimensional spaces. |
| first_indexed | 2025-11-14T11:17:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-81340 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T11:17:58Z |
| publishDate | 2019 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-813402021-03-09T02:39:59Z Characterizations of Nonsmooth Robustly Quasiconvex Functions Bui, Hoa Khanh, P.D. Tran, T.T.T. © 2018, Springer Science+Business Media, LLC, part of Springer Nature. Two criteria for the robust quasiconvexity of lower semicontinuous functions are established in terms of Fréchet subdifferentials in Asplund spaces. The first criterion extends to such spaces a result established by Barron et al. (Discrete Contin Dyn Syst Ser B 17:1693–1706, 2012). The second criterion is totally new even if it is applied to lower semicontinuous functions on finite-dimensional spaces. 2019 Journal Article http://hdl.handle.net/20.500.11937/81340 10.1007/s10957-018-1421-3 Springer fulltext |
| spellingShingle | Bui, Hoa Khanh, P.D. Tran, T.T.T. Characterizations of Nonsmooth Robustly Quasiconvex Functions |
| title | Characterizations of Nonsmooth Robustly Quasiconvex Functions |
| title_full | Characterizations of Nonsmooth Robustly Quasiconvex Functions |
| title_fullStr | Characterizations of Nonsmooth Robustly Quasiconvex Functions |
| title_full_unstemmed | Characterizations of Nonsmooth Robustly Quasiconvex Functions |
| title_short | Characterizations of Nonsmooth Robustly Quasiconvex Functions |
| title_sort | characterizations of nonsmooth robustly quasiconvex functions |
| url | http://hdl.handle.net/20.500.11937/81340 |