Extremality, Stationarity and Generalized Separation of Collections of Sets

Hoa T. Bui () and Alexander Y. Kruger ()
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Hoa T. Bui: Federation University Australia
Alexander Y. Kruger: Federation University Australia

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 1, No 10, 264 pages

Abstract: 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.

Keywords: Extremal principle; Approximate stationarity; Transversality; Regularity; Separation; 49J52; 49J53; 49K40; 90C30 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10957-018-01458-8

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