Comparison of the rate of convergence among Picard, Mann, Ishikawa, and Noor iterations applied to quasicontractive maps

DOI10.1155/2010/169062zbMath1206.47083OpenAlexW2095643552WikidataQ59254683 ScholiaQ59254683MaRDI QIDQ623516

Zhiqun Xue, Billy E. Rhoades

Publication date: 8 February 2011

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

Full work available at URL: https://eudml.org/doc/228891

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

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 ⋮ Efficacy of coefficients on rate of convergence of some iteration methods for quasi-contractions ⋮ Convergence analysis of the Picard-Ishikawa hybrid iterative process with applications

Cites Work

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• Comments on the rate of convergence between Mann and Ishikawa iterations applied to Zamfirescu operators
• A note on the Ishikawa iteration scheme
• 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
• A Generalization of Banach's Contraction Principle
• A Comparison of Various Definitions of Contractive Mappings

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