A new approximation method for common fixed points of a finite family of asymptotically quasi-nonexpansive mappings in Banach spaces

DOI10.1016/j.camwa.2010.06.025zbMath1201.65089OpenAlexW2119257169MaRDI QIDQ611476

Amnuay Kananthai, Atichart Kettapun, Suthep Suantai

Publication date: 14 December 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.06.025

zbMATH Keywords

uniformly convex Banach spacescommon fixed pointsasymptotically quasi-nonexpansive mappingsmodified Mann and Ishikawa iterations

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 (6)

Unnamed Item ⋮ An approximation method for common fixed points of a finite family of asymptotic pointwise nonexpansive mappings ⋮ A new approximation method for common fixed points of a finite family of generalized asymptotically quasinonexpansive mappings in Banach spaces ⋮ Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces ⋮ Convergence theorems for a family of multivalued nonexpansive mappings in hyperbolic spaces ⋮ Fixed points of a finite family of I-asymptotically quasi-nonexpansive mappings in a convex metric space

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