On the asymptotic behavior of iterates of nonexpansive mappings in uniformly convex Banach spaces

DOI10.3792/pjaa.55.209zbMath0459.47053OpenAlexW2000240813MaRDI QIDQ1152098

Kazuo Kobayasi

Publication date: 1979

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.55.209

zbMATH Keywords

duality mappingnon-expansive mappinguniformly convex real Banach space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point theorems on manifolds (58C30) Eilenberg-Moore spectral sequences (55T20)

Related Items (2)

Nonlinear ergodic theorems for commutative semigroups of asymptotically nonexpansive mappings ⋮ Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

Cites Work

• Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces. II
• Geometry of Banach spaces. Selected topics
• 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
• Weak convergence of trajectories of nonexpansive semigroups in Hilbert space
• Asymptotic behavior of iterates of nonexpansive mappings in Banach spaces
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