The existence of nonexpansive retractions in Banach spaces

DOI10.2969/jmsj/03810001zbMath0594.47052OpenAlexW2049963826MaRDI QIDQ1076953

Kazuo Kido, Norimichi Hirano, Takahashi, Wataru

Publication date: 1986

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/03810001

zbMATH Keywords

nonexpansive mappingFréchet differentiable normexistence of a nonexpansive retractionmean ergodic theorem for a nonexpansive mapping in a Banach space

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

Limit theorems of operators by convex combinations of nonexpansive retractions in Banach spaces ⋮ Strong convergence theorems for finitely many nonexpansive mappings and applications ⋮ Nonlinear Ergodic Theorem for Positively Homogeneous Nonexpansive Mappings in Banach Spaces ⋮ Convergence theorems for nonexpansive mappings and feasibility problems ⋮ Nonexpansive retractions and nonlinear ergodic theorems in Banach spaces

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