Geodesic
On quadratic mappings properties and conditions for inverse functions existence
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 3, pp. 533-538

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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. 
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     author = {S. E. Zhukovskiy and Chan Thi Ngok and L.-E. I. Ngomirakiza},
     title = {On quadratic mappings properties and conditions for inverse functions existence},
     journal = {Vestnik rossijskih universitetov. Matematika},
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     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a4/}
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S. E. Zhukovskiy; Chan Thi Ngok; L.-E. I. Ngomirakiza. On quadratic mappings properties and conditions for inverse functions existence. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 3, pp. 533-538. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a4/