- Title
- Extremality, stationarity and generalized separation of collections of sets
- Creator
- Bui, Hoa; Kruger, Alexander
- Date
- 2019
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/168516
- Identifier
- vital:13834
- Identifier
-
https://doi.org/10.1007/s10957-018-01458-8
- Identifier
- ISBN:0022-3239
- Abstract
- 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.
- Publisher
- Springer New York LLC
- Relation
- Journal of Optimization Theory and Applications Vol. 182, no. 1 (2019), p. 211-264
- Rights
- Copyright © 2018, Springer Science+Business Media, LLC, part of Springer Nature.
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0102 Applied Mathematics; 0103 Numerical and Computational Mathematics; 0906 Electrical and Electronic Engineering; Approximate stationarity; Extremal principle; Regularity; Separation; Transversality
- Full Text
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