ENGLISH

Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces

By Simeon Reich , David Shoikhet

Book information

Publisher
Imperial College Press
Year
2005
ISBN
1860945759, 9781860945755
Open Library ID
OL22711021M
Language
english
Format
PDF
Filesize
14 MB (15139017 bytes)
Pages
371\371
Time added
2011-06-04 13:46:07

Description

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.

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