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Higher-order necessary optimality conditions in terms of Neustadt derivatives

✍ Scribed by Marcin Studniarski

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 414 KB
Volume: 47
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(01)00183-3

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✦ Synopsis

We present new higher-order necessary optimality conditions for a general extremum problem in topological vector spaces. They are formulated in terms of higher-order Neustadt derivatives of functions describing the problem. The proof is based on the well-known theory of Ben-Tal and Zowe and on a new extension of the Lyusternik theorem.

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