A STRONG CONVERGENCE OF A MODIFIED KRASNOSELSKII‐MANN METHOD FOR NON‐EXPANSIVE MAPPINGS IN HILBERT SPACES

DOI10.3846/1392-6292.2010.15.265-274zbMath1218.47130OpenAlexW1976170700MaRDI QIDQ3162404

Yonghong Yao, Yeol Je Cho

Publication date: 19 October 2010

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

Full work available at URL: https://doi.org/10.3846/1392-6292.2010.15.265-274

zbMATH Keywords

strong convergencefixed pointHilbert spacenonexpansive mappingsKrasnoselsky-Mann's methodmodified Krasnoselskij-Mann's method

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items (10)

Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications ⋮ The convergence of the modified Mann and Ishikawa iterations in Banach spaces ⋮ Strong convergence theorems for uniformly \(L\)-Lipschitzian asymptotically pseudocontractive mappings in Banach spaces ⋮ On Mann-type iteration method for a family of hemicontractive mappings in Hilbert spaces ⋮ Unnamed Item ⋮ Iterative algorithm for split common fixed-point problem for quasi-nonexpansive operators ⋮ Further investigation into split common fixed point problem for demicontractive operators ⋮ Split common fixed point problems for demicontractive operators ⋮ A unified algorithm for finding a fixed point of demicontractive mappings and its application to split common fixed point problem ⋮ Another look at the split common fixed point problem for demicontractive operators

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