Comparison of fastness of the convergence among Krasnoselskij, Mann, and Ishikawa iterations in arbitrary real Banach spaces

DOI10.1155/FPTA/2006/35704zbMath1143.47303OpenAlexW2078208992WikidataQ59215561 ScholiaQ59215561MaRDI QIDQ2427454

K. N. V. V. Vara Prasad, G. V. R. Babu

Publication date: 13 May 2008

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

Full work available at URL: https://eudml.org/doc/54430

Mathematics Subject Classification ID

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

Related Items (2)

On Berinde's method for comparing iterative processes ⋮ The comparison of the convergence speed between Picard, Mann, Krasnoselskij and Ishikawa iterations in Banach spaces

Cites Work

• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
• Mann iteration converges faster than Ishikawa iteration for the class of Zamfirescu operators
• Nonlinear semigroups and evolution equations
• Nonlinear accretive and pseudo-contractive operator equations in Banach spaces
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