WEAK AND STRONG CONVERGENCE OF MANN'S-TYPE ITERATIONS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS

DOI10.4134/JKMS.2008.45.5.1393zbMath1167.47051OpenAlexW2144664283MaRDI QIDQ3530383

Yisheng Song, Ru Dong Chen

Publication date: 20 October 2008

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/jkms.2008.45.5.1393

zbMATH Keywords

strong convergenceweak convergencenonexpansive mappingMann-type iteration

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

Convergence theorems for a countable family of Lipschitzian mappings ⋮ Strong convergence of iteration algorithms for a countable family of nonexpansive mappings ⋮ Some convergence theorems of the Mann iteration for monotone \(\alpha\)-nonexpansive mappings ⋮ Fixed point theorems and iterative approximations for monotone nonexpansive mappings in ordered Banach spaces ⋮ Strong and weak convergence of Mann iteration of monotone α-nonexpansive mappings in uniformly convex Banach spaces

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