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The parameter selection problem for Mann's fixed point algorithm

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Publication:1012940
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DOI10.11650/twjm/1500405126zbMath1169.47061OpenAlexW4255550805MaRDI QIDQ1012940

Hong-Kun Xu

Publication date: 28 April 2009

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500405126


zbMATH Keywords

Mann iterationvariational inequality problemline search algorithmpotential optimization method


Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) 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) Applications of operator theory in numerical analysis (47N40)


Related Items (2)

On the optimal relaxation parameters of Krasnosel'ski–Mann iteration ⋮ Multi-step inertial Krasnosel'skiǐ-Mann iteration with new inertial parameters arrays






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