The comparison of the convergence speed between Picard, Mann, Krasnoselskij and Ishikawa iterations in Banach spaces

DOI10.1155/2008/387056zbMath1203.47083OpenAlexW2320724454MaRDI QIDQ937566

Zhiqun Xue

Publication date: 15 August 2008

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45247

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (5)

Strong convergence of a new hybrid iterative scheme for nonexpansive mappings and applications ⋮ A solution of delay differential equations via Picard-Krasnoselskii hybrid iterative process ⋮ On Berinde's method for comparing iterative processes ⋮ Introduction of new Picard–S hybrid iteration with application and some results for nonexpansive mappings ⋮ Convergence analysis of the Picard-Ishikawa hybrid iterative process with applications

Cites Work

• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
• Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces
• Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
• Fixed Point Iterations Using Infinite Matrices
• Fixed point theorems in metric spaces

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