Convergence of a general iterative scheme for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces and applications

DOI10.1016/j.camwa.2010.02.017zbMath1194.47085OpenAlexW2086338200MaRDI QIDQ988274

J. Martínez

Publication date: 26 August 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.02.017

zbMATH Keywords

common fixed pointconvex metric spacesasymptotically quasi-nonexpansivegeneral iterative scheme

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Existence and higher arity iteration for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces ⋮ Unnamed Item ⋮ Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings ⋮ Strong convergence of an implicit algorithm in CAT(0) spaces ⋮ Convergence theorems for common fixed points of asymptotically quasi-nonexpansive mappings in convex metric spaces ⋮ Fixed point results for a generalized nonexpansive map in uniformly convex metric spaces ⋮ Strong convergence theorems with a Noor-type iterative scheme in convex metric spaces ⋮ Unnamed Item ⋮ Fixed Point Results for $F$-Hardy-Rogers Contractions via Mann's Iteration Process in Complete Convex $b$-Metric Spaces ⋮ Convergence rate of implicit iteration process and a data dependence result ⋮ Strong convergence theorems for two finite families of generalized asymptotically quasi-nonexpansive mappings with applications

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