On the infinitesimal generators and the asymptotic behavior of nonlinear contraction semi-groups

DOI10.3792/pjaa.58.1zbMath0504.47055OpenAlexW2090523542MaRDI QIDQ1836142

Isao Miyadera

Publication date: 1982

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.58.1

zbMATH Keywords

resolventinfinitesimal generatordissipative operatorFrechet differentiable normnonlinear contraction semi-group

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06)

Related Items (4)

Differential equations in a Banach space ⋮ Unbounded behavior and convergence of solutions of nonlinear Volterra equations in Banach spaces ⋮ On the asymptotic behavior for a certain nonlinear evolution equation ⋮ The asymptotics of nonexpansive iterations

Cites Work

• Some geometric properties of the spheres in a normed linear space
• On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
• The differentiability of nonlinear semigroups in uniformly convex spaces
• Asymptotic behavior of nonexpansive mappings in normed linear spaces
• Approximation of semi-groups of nonlinear operators
• A Generalized Domain for Semigroup Generators
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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