p-Regularity Theory. Tangent Cone Description in the Singular Case

We present a new proof of the theorem which is one of the main results of the p-regularity theory. This gives us a detailed description of the structure of the zero set of a singular nonlinear mapping. We say that F : X → Y is singular at some point x₀, where X and Y are Banach spaces, if ImF′(x₀) ≠...

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Bibliographic Details
Date:2015
Main Authors: Prusińska, A., Tret’yakov, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/165760
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:p-Regularity Theory. Tangent Cone Description in the Singular Case / A. Prusińska, A. Tret’yakov // Український математичний журнал. — 2015. — Т. 67, № 8. — С. 1097–1106. — Бібліогр.: 7 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine