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An Implicit Function Theorem for Inclusions Defined by Close Mappings

Authors:	E.?R.?Avakov author-information" > author-information__contact u-icon-before" > mailto:eramag@mail.ru" title=" eramag@mail.ru" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,G.?G.?Magaril-Il’yaev

Affiliation:	1.Trapeznikov Institute for Control Problems,Russian Academy of Sciences,Moscow,Russia;2.Lomonosov Moscow State University,Moscow,Russia;3.Kharkevich Institute for Information Transmission Problems,Russian Academy of Sciences,Moscow,Russia;4.Southern Mathematical Institute, Vladikavkaz Research Center,Russian Academy of Sciences,Vladikavkaz,Russia

Abstract:	The paper deals with the question of the solvability of inclusions F(x, σ) ∈ Q for mappings F close, in some metrics, to a given mapping ?F.

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