scholarly journals Asymmetric expansion preserves hyperbolic convexity

2020 ◽  
Vol 111 (2) ◽  
Author(s):  
Dhruv Kohli ◽  
Jeffrey M. Rabin
Keyword(s):  
Hyperbolic Convexity

Weakly Nehari functions, hyperbolic convexity and John disks

2006 ◽  
Vol 279 (12) ◽  
pp. 1313-1320
Author(s):  
Martin Chuaqui ◽  
Pilar Herreros
Keyword(s):  
Hyperbolic Convexity

scholarly journals A sharpened form of the inverse function theorem

2020 ◽  
Vol 73 (2) ◽  
pp. 59
Author(s):  
Mark Elin ◽  
David Shoikhet
Keyword(s):  
Numerical Range ◽  
Inverse Function ◽  
Inverse Function Theorem ◽  
Geometrical Properties ◽  
Hyperbolic Convexity ◽  
Advanced Version ◽  
Sharpened Form

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.

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