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Tambov University Reports. Series: Natural and Technical Sciences, 2017, Volume 22, Issue 3, Pages 533–538
DOI: https://doi.org/10.20310/1810-0198-2017-22-3-533-538 (Mi vtamu110) 		 
Scientific articles

On quadratic mappings properties and conditions for inverse functions existence

S. E. Zhukovskiy, Chan Thi Ngok, L.-E. I. Ngomirakiza

RUDN University
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DOI: https://doi.org/10.20310/1810-0198-2017-22-3-533-538
Abstract: Some properties of quadratic mappings are studied It is proved that if a quadratic mapping have no nontrivial zeroes then it has nontrivial fixed points. Sufficient conditions for inverse function existence are obtained for smooth mappings in the case when the first derivative vanishes.
Keywords: quadratic mapping, fixed point, inverse function.
Funding agency Grant number
Russian Science Foundation 17-11-01168
The investigation was supported by a grant from the Russian Science Foundation (project № 17-11-01168).
Received: 20.04.2017
Document Type: Article
UDC: 517.275
Language: Russian
Citation: S. E. Zhukovskiy, Chan Thi Ngok, L.-E. I. Ngomirakiza, “On quadratic mappings properties and conditions for inverse functions existence”, Tambov University Reports. Series: Natural and Technical Sciences, 22:3 (2017), 533–538
Citation in format AMSBIB
\Bibitem{ZhuChaNgo17}
\by S.~E.~Zhukovskiy, Chan Thi Ngok, L.-E.~I.~Ngomirakiza
\paper On quadratic mappings properties and conditions for inverse functions existence
\jour Tambov University Reports. Series: Natural and Technical Sciences
\yr 2017
\vol 22
\issue 3
\pages 533--538
\mathnet{http://mi.mathnet.ru/vtamu110}
\crossref{https://doi.org/10.20310/1810-0198-2017-22-3-533-538}
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