scholarly journals Böttcher coordinates at superattracting fixed points of holomorphic skew products

2016 ◽  
Vol 20 (3) ◽  
pp. 43-57 ◽  
Author(s):  
Kohei Ueno
Keyword(s):  
Fixed Points ◽  
Skew Products

Böttcher coordinates at fixed indeterminacy points

2018 ◽  
Vol 39 (12) ◽  
pp. 3437-3456 ◽  
Author(s):  
KOHEI UENO
Keyword(s):  
Fixed Points ◽  
Skew Products ◽  
Open Set ◽  
Monomial Map ◽  
Meromorphic Maps

We first consider the dynamics of a class of meromorphic skew products having superattracting fixed points or fixed indeterminacy points at the origin. Our theorem asserts that, if a map has a suitable weight, then it is conjugate to the associated monomial map on an invariant open set whose closure contains the origin. We next extend this result to a wider class of meromorphic maps such that the eigenvalues of the associated matrices are real and greater than $1$.

On $\alpha$-nonexpansive mapping and fixed-points in Banach spaces

2018 ◽  
Vol 2018 (-) ◽  
Author(s):  
Prondanai Kaskasem ◽  
Chakkrid Klin-eam ◽  
Suthep Suantai
Keyword(s):  
Nonexpansive Mapping ◽  
Fixed Points ◽  
Banach Spaces

Fixed Points of Sequences of Mappings

2018 ◽  
Vol 2018 (-) ◽  
Author(s):  
C. Ganesa Moorthy ◽  
S. Iruthaya Raj
Keyword(s):  
Fixed Points
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