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Matematicheskie Zametki, 2018, Volume 103, Issue 4, Pages 483–489
DOI: https://doi.org/10.4213/mzm11576 (Mi mzm11576) 		 
This article is cited in 6 scientific papers (total in 6 papers)

An Implicit Function Theorem for Inclusions Defined by Close Mappings

E. R. Avakovab, G. G. Magaril-Il'yaevacd

a Lomonosov Moscow State University
b V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
d Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
Full-text PDF (423 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11576
Abstract: The paper deals with the question of the solvability of inclusions $F(x,\sigma)\in Q$ for mappings $F$ close, in some metrics, to a given mapping $\widehat{F}$.
Keywords: implicit function, Brouwer's fixed point theorem, Newton's method.
Received: 04.03.2017
Revised: 12.10.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 4, Pages 507–512
DOI: https://doi.org/10.1134/S0001434618030185
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: E. R. Avakov, G. G. Magaril-Il'yaev, “An Implicit Function Theorem for Inclusions Defined by Close Mappings”, Mat. Zametki, 103:4 (2018), 483–489; Math. Notes, 103:4 (2018), 507–512
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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