On the asymptotic behavior of asymptotically nonexpansive semi-groups in Banach spaces

DOI10.3792/pjaa.57.171zbMath0492.47039OpenAlexW2000928024MaRDI QIDQ1167921

Yoshitaka Takahashi, Hiroshi Abe, Masataka Taniguti

Publication date: 1981

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.57.171

zbMATH Keywords

accretive operatorresolventuniformly convex Banach spaceasymptotic behaviourrange conditionasymptotically nonexpansivenonexpansive nonlinear semi-groups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Differential equations in a Banach space

Cites Work

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• A note on asymptotic strong convergence of nonlinear contraction semigroups
• Remarks on nonlinear ergodic theory
• On the asymptotic behaviour of nonlinear contraction semigroups.
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces

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