Fixed points of holomorphic mappings for domains in Banach spaces
2003 ◽
Vol 2003
(5)
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pp. 261-274
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Keyword(s):
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.
Keyword(s):
Keyword(s):
2018 ◽
Vol 7
(4.10)
◽
pp. 694
Keyword(s):
2019 ◽
Vol 22
(1)
◽