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Vladikavkazskii Matematicheskii Zhurnal, 2008, Volume 10, Number 4, Pages 39–48 (Mi vmj80)  
Nonstandard models and optimization

S. S. Kutateladze

Sobolev Institute of Mathematics, Novosibirsk, RUSSIA
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Abstract: This is an overview of a few possibilities that are open by model theory in optimization. Most attention is paid to the impact of infinitesimal analysis and Boolean valued models to convexity, Pareto optimality, and hyperapproximation.
Key words: Boolean valued analysis, nonstandard analysis, approximate efficiency, hyperapproximation, lattice normed space.
Received: 08.08.2008
Bibliographic databases:
Document Type: Article
UDC: 513.588
Language: English
Citation: S. S. Kutateladze, “Nonstandard models and optimization”, Vladikavkaz. Mat. Zh., 10:4 (2008), 39–48
Citation in format AMSBIB
\Bibitem{Kut08}
\by S.~S.~Kutateladze
\paper Nonstandard models and optimization
\jour Vladikavkaz. Mat. Zh.
\yr 2008
\vol 10
\issue 4
\pages 39--48
\mathnet{http://mi.mathnet.ru/vmj80}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2461691}
\elib{https://elibrary.ru/item.asp?id=11606383}
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