Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces
From MaRDI portal
Publication:362422
DOI10.1186/1687-1812-2011-39zbMath1315.47077OpenAlexW2120519026WikidataQ59269236 ScholiaQ59269236MaRDI QIDQ362422
Publication date: 21 August 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2011-39
CAT(0) spacesasymptotically nonexpansive typefixed points \(\Delta\)-convergenceKrasnoselskij-Mann iterationuniformly convex \(W\)-hyperbolic spaces
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Fixed point approximation for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
- A quadratic rate of asymptotic regularity for CAT(0)-spaces
- A concept of convergence in geodesic spaces
- Strong and \(\Delta\) convergence theorems for multivalued mappings in CAT(0) spaces
- Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces
- The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically nonexpansive in the intermediate sense and strongly successively pseudocontractive maps.
- Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
- A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense.
- Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- Fixed points of uniformly Lipschitzian mappings
- Reductive groups over a local field
- Iteration processes for nonexpansive mappings
- A convexity in metric space and nonexpansive mappings. I.
- Nonexpansive iterations in hyperbolic spaces
- Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
- Remarks on Some Fixed Point Theorems
- Some fixed point theorems in metric spaces
- Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
- Krasnoselskii's iteration process in hyperbolic space
- Some logical metatheorems with applications in functional analysis
- Zum Prinzip der kontraktiven Abbildung
- Applied Proof Theory: Proof Interpretations and Their Use in Mathematics
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
