Extremality, Stationarity and Generalized Separation of Collections of Sets
© 2018, Springer Science+Business Media, LLC, part of Springer Nature. The core arguments used in various proofs of the extremal principle and its extensions as well as in primal and dual characterizations of approximate stationarity and transversality of collections of sets are exposed, analysed an...
| Main Authors: | , |
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| Format: | Journal Article |
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Springer
2019
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| Online Access: | http://purl.org/au-research/grants/arc/DP160100854 http://hdl.handle.net/20.500.11937/81339 |
| _version_ | 1848764350625480704 |
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| author | Bui, Hoa Kruger, A.Y. |
| author_facet | Bui, Hoa Kruger, A.Y. |
| author_sort | Bui, Hoa |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | © 2018, Springer Science+Business Media, LLC, part of Springer Nature. The core arguments used in various proofs of the extremal principle and its extensions as well as in primal and dual characterizations of approximate stationarity and transversality of collections of sets are exposed, analysed and refined, leading to a unifying theory, encompassing all existing approaches to obtaining ‘extremal’ statements. For that, we examine and clarify quantitative relationships between the parameters involved in the respective definitions and statements. Some new characterizations of extremality properties are obtained. |
| first_indexed | 2025-11-14T11:17:58Z |
| format | Journal Article |
| id | curtin-20.500.11937-81339 |
| 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-20.500.11937-813392021-03-10T02:24:13Z Extremality, Stationarity and Generalized Separation of Collections of Sets Bui, Hoa Kruger, A.Y. © 2018, Springer Science+Business Media, LLC, part of Springer Nature. The core arguments used in various proofs of the extremal principle and its extensions as well as in primal and dual characterizations of approximate stationarity and transversality of collections of sets are exposed, analysed and refined, leading to a unifying theory, encompassing all existing approaches to obtaining ‘extremal’ statements. For that, we examine and clarify quantitative relationships between the parameters involved in the respective definitions and statements. Some new characterizations of extremality properties are obtained. 2019 Journal Article http://hdl.handle.net/20.500.11937/81339 10.1007/s10957-018-01458-8 http://purl.org/au-research/grants/arc/DP160100854 Springer fulltext |
| spellingShingle | Bui, Hoa Kruger, A.Y. Extremality, Stationarity and Generalized Separation of Collections of Sets |
| title | Extremality, Stationarity and Generalized Separation of Collections of Sets |
| title_full | Extremality, Stationarity and Generalized Separation of Collections of Sets |
| title_fullStr | Extremality, Stationarity and Generalized Separation of Collections of Sets |
| title_full_unstemmed | Extremality, Stationarity and Generalized Separation of Collections of Sets |
| title_short | Extremality, Stationarity and Generalized Separation of Collections of Sets |
| title_sort | extremality, stationarity and generalized separation of collections of sets |
| url | http://purl.org/au-research/grants/arc/DP160100854 http://hdl.handle.net/20.500.11937/81339 |