Fixed point theorems for Lipschitzian type mappings in \(CAT(0)\) spaces

DOI10.1016/j.mcm.2011.10.019zbMath1262.47077OpenAlexW1991082563MaRDI QIDQ1933916

Mujahid Abbas, Daya Ram Sahu, Zoran Kadelburg

Publication date: 27 January 2013

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.10.019

zbMATH Keywords

fixed pointCAT(0) spaceiteration processnearly asymptotically quasi-nonexpansive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (16)

On the convergence of fixed points for Lipschitz type mappings in hyperbolic spaces ⋮ On an open problem of Kyung Soo Kim ⋮ Fixed point approximation for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces ⋮ Approximating fixed points of nearly asymptotically nonexpansive mappings in \(\mathrm{CAT}(k)\) spaces ⋮ Proximal point algorithms based on \(S\)-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications ⋮ Unnamed Item ⋮ Mann-Dotson's algorithm for a countable family of non-self Lipschitz mappings in hyperbolic metric space ⋮ Unnamed Item ⋮ Fixed point approximation of generalized nonexpansive mappings in hyperbolic spaces ⋮ A modified proximal point algorithm for a nearly asymptotically quasi-nonexpansive mapping with an application ⋮ A modified proximal point algorithm involving nearly asymptotically quasi-nonexpansive mappings ⋮ Convergence Results for Proximal Point Algorithm in Complete Cat(0) Space for Multivalued Mappings ⋮ Unnamed Item ⋮ The Samarskii problem for the fractal diffusion equation ⋮ Porosity results on fixed points for nonexpansive set-valued maps in hyperbolic spaces ⋮ Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in \(\operatorname{CAT}(k)\) spaces

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