On the asymptotic behavior of a nonlinear contraction semigroup and the resolvent iteration

DOI10.3792/PJAA.59.238zbMath0562.47052OpenAlexW2009255727MaRDI QIDQ1056899

Tetsuji Sugimoto, Munehito Koizumi

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.238

zbMATH Keywords

semigroupm-dissipative operatorcontractive evolution systemresolvent iteration convergence

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25)

Related Items (4)

A unified approach to the asymptotic almost-equivalence of evolution systems without Lipschitz conditions ⋮ Asymptotic almost-equivalence of Lipschitz evolution systems in Banach spaces ⋮ Forward-backward approximation of nonlinear semigroups in finite and infinite horizon ⋮ Asymptotic equivalence of evolution equations governed by cocoercive operators and their forward discretizations

Cites Work

• Unnamed Item
• Difference approximation of Cauchy problems for quasi-dissipative operators and generation of nonlinear semigroups
• On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces

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