A sharpened form of the inverse function theorem

Mark Elin, David Shoikhet

Abstract


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.

Keywords


Inverse function theorem; nonlinear resolvent; holomorphic function

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References


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DOI: http://dx.doi.org/10.17951/a.2019.73.2.59-67
Data publikacji: 2020-01-16 07:29:32
Data złożenia artykułu: 2020-01-09 15:30:47


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