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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 271, Pages 18–28 (Mi tm3230)  
This article is cited in 33 scientific papers (total in 33 papers)

Existence and properties of inverse mappings

A. V. Arutyunovab, S. E. Zhukovskiya

a Peoples' Friendship University of Russia, Moscow, Russia
b Southern Mathematical Institute, Vladikavkaz Research Center, Russian Academy of Sciences, Vladikavkaz, Russia
Full-text PDF (213 kB) Citations (33)
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Abstract: Nonlinear mappings in Banach spaces are considered. The covering property, metric regularity, and the existence of a continuous right inverse are considered for these mappings under various assumptions of smoothness. Several regularity conditions that guarantee the local covering property and the existence of a continuous right inverse are presented.
Received in February 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 271, Pages 12–22
DOI: https://doi.org/10.1134/S0081543810040036
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: A. V. Arutyunov, S. E. Zhukovskiy, “Existence and properties of inverse mappings”, Differential equations and topology. II, Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin, Trudy Mat. Inst. Steklova, 271, MAIK Nauka/Interperiodica, Moscow, 2010, 18–28; Proc. Steklov Inst. Math., 271 (2010), 12–22
Citation in format AMSBIB
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\paper Existence and properties of inverse mappings
\inbook Differential equations and topology.~II
\bookinfo Collected papers. In commemoration of the centenary of the birth of Academician Lev Semenovich Pontryagin
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\vol 271
\pages 18--28
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 33 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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