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Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces

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Publication:1258981
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DOI10.3792/pjaa.54.212zbMath0409.47042OpenAlexW4243403017MaRDI QIDQ1258981

Isao Miyadera

Publication date: 1978

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.54.212


zbMATH Keywords

Asymptotic CenterDuality MappingFixed-PointNonexpansive Mapping


Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)


Related Items

Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces. II ⋮ On the asymptotic behavior of iterates of nonexpansive mappings in uniformly convex Banach spaces ⋮ Nonlinear ergodic theorems of almost-orbits of non-Lipschitzian semigroups



Cites Work

  • On the asymptotic behavior of iterates of nonexpansive mappings in Hilbert space
  • On the almost-convergence of iterates of a nonexpansive mapping in Hilbert space and the structure of the weak \(\omega\)-limit set
  • Fixed Point Theorems in Uniformly Convex Banach Spaces
  • Weak convergence of the sequence of successive approximations for nonexpansive mappings
  • Unnamed Item
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