Nonlinear Semigroups, Fixed Points, And Geometry Of Domains In Banach Spaces
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A01=David Shoikhet
A01=Simeon Reich
Asymptotic Behavior
Author_David Shoikhet
Author_Simeon Reich
Category=PBKF
Category=PBKJ
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fixed Points
Generators
Holomorphic Mappings
Hyperbolic Metrics
Nonlinear Semigroups
Starlike Domains
Product details
- ISBN 9781860945755
- Publication Date: 13 Jul 2005
- Publisher: Imperial College Press
- Publication City/Country: GB
- Product Form: Hardback
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Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces.Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments.
