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 |
| Summary: | © 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. |
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