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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Date: | 2015 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2015
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Series: | Український математичний журнал |
Subjects: | |
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. |