Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces
DOI10.1016/j.amc.2014.04.005zbMath1341.47083OpenAlexW2037928293MaRDI QIDQ275240
F. Blanchet-Sadri, M. Dambrine
Publication date: 25 April 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.04.005
asymptotically nonexpansive map\(\Delta\)-convergence and strong convergencegeneral algorithmuniformly convex metric space
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces
- Strong convergence of a general iteration scheme in \(CAT(0)\) spaces
- Strong convergence theorems with a Noor-type iterative scheme in convex metric spaces
- Convergence of an Ishikawa type iterative scheme for asymptotically quasi-nonexpansive mappings
- A concept of convergence in geodesic spaces
- On modified Noor iterations for asymptotically nonexpansive mappings
- Convergence theorems for fixed points of uniformly quasi-Lipschitzian mappings in convex metric spaces
- Approximating fixed points of a pair of contractive type mappings in generalized convex metric spaces
- Fixed point iterations for certain nonlinear mappings
- Fixed points of multivalued mappings in certain convex metric spaces
- New approximation schemes for general variational inequalities
- Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
- Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
- A convexity in metric space and nonexpansive mappings. I.
- Fixed points for condensing multifunctions in metric spaces with convex structure
- Remarks on Some Fixed Point Theorems
- Krasnoselskii's iteration process in hyperbolic space
- Fixed Points by a New Iteration Method
- Some logical metatheorems with applications in functional analysis
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Mean Value Methods in Iteration
This page was built for publication: Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces