On the asymptotic behavior of a nonlinear contraction semigroup and the resolvent iteration
type: Item
instance of: scholarly article
title: On the asymptotic behavior of a nonlinear contraction semigroup and the resolvent iteration
zbMATH Open document ID: 0562.47052
author: Tetsuji Sugimoto
author: Munehito Koizumi
published in: Proceedings of the Japan Academy. Series A
publication date: 1983-01-01T00:00:00Z
review text: A one-to-one correspondence between the resolvent iteration convergence of an m-dissipative operator and the convergence for \(t\to \infty\) of the generated semigroup is proved. The result substantially extends the Passty previous one relating to the Lipschitzean case. The very technical proof uses some facts about ''contractive evolution system'' and an idea of Miyadera and Kobayasi.
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H06
zbMATH DE Number: 3895736
zbMATH Keywords: resolvent iteration convergence
zbMATH Keywords: m-dissipative operator
zbMATH Keywords: semigroup
zbMATH Keywords: contractive evolution system
MaRDI profile type: Publication
full work available at URL: pjaa.59.238
OpenAlex ID: W2009255727
cites work: Q3923148
cites work: Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
cites work: On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces
DOI: 10.3792/PJAA.59.238
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description: scientific article; zbMATH DE number 3895736