scholarly journals A note on holomorphic mappings with two fixed points

1990 ◽  
Vol 51 (1) ◽  
pp. 179-182
Author(s):  
Marek Jarnicki ◽  
Piotr Tworzewski
Keyword(s):  
Fixed Points ◽  
Holomorphic Mappings

Fixed Points of Holomorphic Mappings: A Metric Approach

2001 ◽  
pp. 437-515 ◽  
Author(s):  
Tadeusz Kuczumow ◽  
Simeon Reich ◽  
David Shoikhet
Keyword(s):  
Fixed Points ◽  
Holomorphic Mappings

scholarly journals Common fixed points of commuting holomorphic mappings

1989 ◽  
Vol 12 (3) ◽  
pp. 423-428 ◽  
Author(s):  
T. Kuczumow ◽  
A. Stachura
Keyword(s):  
Fixed Points ◽  
Common Fixed Points ◽  
Holomorphic Mappings

scholarly journals Fixed points of holomorphic mappings for domains in Banach spaces

2003 ◽  
Vol 2003 (5) ◽  
pp. 261-274 ◽  
Author(s):  
Lawrence A. Harris
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Holomorphic Function ◽  
Fixed Points ◽  
Banach Spaces ◽  
Point Theorem ◽  
Numerical Range ◽  
Holomorphic Functions ◽  
Holomorphic Mappings

We discuss the Earle-Hamilton fixed-point theorem and show how it can be applied when restrictions are known on the numerical range of a holomorphic function. In particular, we extend the Earle-Hamilton theorem to holomorphic functions with numerical range having real part strictly less than 1. We also extend the Lumer-Phillips theorem estimating resolvents to dissipative holomorphic functions.

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