Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces

DOI10.1016/j.jmaa.2012.08.013zbMath1264.54060OpenAlexW1990704124MaRDI QIDQ1759948

Abdul Rahim Khan, Mohamed Amine Khamsi, Buthinah Abdullatif Bin Dehaish

Publication date: 22 November 2012

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.2012.08.013

zbMATH Keywords

fixed pointasymptotically nonexpansive mappingMann iteration processuniformly convex metric space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (12)

Convergence of a general algorithm of asymptotically nonexpansive maps in uniformly convex hyperbolic spaces ⋮ Coupled solutions for a bivariate weakly nonexpansive operator by iterations ⋮ Common fixed point and solution of nonlinear functional equations ⋮ Unnamed Item ⋮ Weak \(w^{2}\)-stability and data dependence of Mann iteration method in Hilbert spaces ⋮ A one-step implicit iterative method for two finite families of asymptotically nonexpansive mappings in a hyperbolic space ⋮ Ishikawa iteration process for asymptotic pointwise nonexpansive mappings in metric spaces ⋮ Fixed points by certain iterative schemes with applications ⋮ Approximating common fixed points in hyperbolic spaces ⋮ Strong convergence of an Ishikawa-type algorithm in CAT(0) spaces ⋮ The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces ⋮ Fixed point iterations of asymptotically demicontractive and asymptotically hemicontractive mappings in hyperbolic spaces

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