Use Model Theory in Nonsmooth Analysis

S. S. Kutateladze ()
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S. S. Kutateladze: Sobolev Institute of Mathematics

A chapter in Constructive Nonsmooth Analysis and Related Topics, 2014, pp 1-11 from Springer

Abstract: Abstract This is a short invitation to using the models of nonstandard set theory in nonsmooth analysis. The techniques of the infinitesimal and Boolean-valued versions of analysis are illustrated by the concept of infinitesimal optimality and the operator-valued Farkas lemma.

Keywords: Nonstandard models; Nonstandard set theory; Infinitesimal optimality; Farkas lemma (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-8615-2_1

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DOI: 10.1007/978-1-4614-8615-2_1

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