A note on the Krasnoselski–Mann theorem and its generalizations

DOI10.1088/0266-5611/23/3/010zbMath1122.65054OpenAlexW2082054025MaRDI QIDQ5293664

Qingzhi Yang, Jin-Ling Zhao

Publication date: 2 July 2007

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/23/3/010

zbMATH Keywords

weak convergencefixed pointHilbert space(firmly) nonexpansive operator(generalized) Krasnoselski-Mann iteration

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 (3)

Modified Krasnoselskii-Mann iterative algorithm for nonexpansive mappings in Banach spaces ⋮ A Variable Krasnoselski–Mann Algorithm for a New Class of Fixed Point Problems ⋮ Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings

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