Geodesic
A sharpened form of the inverse function theorem
Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 2.

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In this note we establish an advanced version of the inverse function theorem and study some local geometrical properties like starlikeness and hyperbolic convexity of the inverse function under natural restrictions on the numerical range of the underlying mapping.
Mots-clés : Inverse function theorem, nonlinear resolvent, holomorphic function 
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Elin, Mark; Shoikhet, David. A sharpened form of the inverse function theorem. Annales Universitatis Mariae Curie-Skłodowska. Mathematica , Tome 73 (2019) no. 2. https://geodesic-test.mathdoc.fr/item/AUM_2019_73_2_a2/

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