On the asymptotic behavior of odd operators

DOI10.1016/j.jmaa.2011.04.065zbMath1221.47094OpenAlexW2046820221MaRDI QIDQ549798

Ulrich Kohlenbach

Publication date: 18 July 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.04.065

zbMATH Keywords

fixed pointsstrong convergencemetastabilitynonexpansive mappingsuniformly convex Banach spacesproof miningfunctional interpretationodd operators

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functionals in proof theory (03F10)

Related Items (3)

Bounds for a nonlinear ergodic theorem for Banach spaces ⋮ A quantitative nonlinear strong ergodic theorem for Hilbert spaces ⋮ On the quantitative asymptotic behavior of strongly nonexpansive mappings in Banach and geodesic spaces

Cites Work

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• A quantitative nonlinear strong ergodic theorem for Hilbert spaces
• On quantitative versions of theorems due to F. E. Browder and R. Wittmann
• Mean Ergodic Theorems for Nonlinear Operators
• Fixed Points and Iteration of a Nonexpansive Mapping in a Banach Space
• Norm convergence of multiple ergodic averages for commuting transformations
• General logical metatheorems for functional analysis
• Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
• On the Interpretation of Non-Finitist Proofs--Part I
• On the interpretation of non-finitist proofs–Part II

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