Mann iterates of directionally nonexpansive mappings in hyperbolic spaces

DOI10.1155/S1085337503212021zbMath1038.47037MaRDI QIDQ1811865

Leuştean Laurenţiu, Ulrich Kohlenbach

Publication date: 18 June 2003

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50781

zbMATH Keywords

asymptotic behaviorhyperbolic spacesMann iterationlogical analysisdirectionally nonexpansive mapsuniform asymptotic regularity

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Constructive and recursive analysis (03F60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Functionals in proof theory (03F10)

Related Items

Uniform asymptotic regularity for Mann iterates. ⋮ Quadratic rates of asymptotic regularity for the Tikhonov–Mann iteration ⋮ A quadratic rate of asymptotic regularity for CAT(0)-spaces ⋮ On \(\Delta\)-convergence theorems in CAT\((0)\) spaces ⋮ Some logical metatheorems with applications in functional analysis ⋮ The approximate fixed point property in product spaces ⋮ Asymptotic behavior of averaged and firmly nonexpansive mappings in geodesic spaces ⋮ Unnamed Item ⋮ Fixed points of Suzuki-generalized nonexpansive mappings in \(CAT_p (0)\) metric spaces ⋮ Averaged alternating reflections in geodesic spaces ⋮ Bounds on Kuhfittig's iteration schema in uniformly convex hyperbolic spaces ⋮ Quantitative image recovery theorems ⋮ Proof-theoretic uniform boundedness and bounded collection principles and countable Heine-Borel compactness ⋮ Effective rates of convergence for Lipschitzian pseudocontractive mappings in general Banach spaces ⋮ Some convergence theorems for contractive type mappings in \(CAT(0)\) spaces ⋮ Some computational aspects of metric fixed-point theory ⋮ A functional interpretation for nonstandard arithmetic ⋮ 2003 Annual Meeting of the Association for Symbolic Logic ⋮ Strongly uniform bounds from semi-constructive proofs ⋮ General logical metatheorems for functional analysis ⋮ Hyperbolic spaces and directional contractions

This page was built for publication: Mann iterates of directionally nonexpansive mappings in hyperbolic spaces