Fixed point and convergence theorems for different classes of generalized nonexpansive mappings in \(CAT(0)\) spaces
From MaRDI portal
Publication:692302
DOI10.1016/j.camwa.2011.12.075zbMath1252.47068OpenAlexW1996860574MaRDI QIDQ692302
Publication date: 4 December 2012
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.075
common fixed point\(\delta\)-convergencequasi-nonexpansive mapping\(CAT(0)\) spacepointwise asymptotically nonexpansive mapping
Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Approximating common fixed points of a family of non-self mappings in CAT(0) spaces ⋮ A note on common fixed point results in uniformly convex hyperbolic spaces ⋮ Viscosity iterative process for demicontractive mappings and multivalued mappings and equilibrium problems ⋮ A shrinking projection extragradient algorithm for equilibrium problem and fixed point problem ⋮ On the generalized asymptotically nonspreading mappings in convex metric spaces ⋮ Demiclosed principle and \(\Delta\)-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Fixed point theory for a class of generalized nonexpansive mappings
- Common fixed point results in CAT(0) spaces
- Strong and \(\triangle\)-convergence of some iterative schemes in \(CAT(0)\) spaces
- On asymptotic pointwise contractions in metric spaces
- A concept of convergence in geodesic spaces
- Asymptotic pointwise contractions
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- A note on fixed point sets in CAT(0) spaces
- Iteration processes for nonexpansive mappings
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings