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Comparison of the Rate of Convergence among Picard, Mann, Ishikawa, and Noor Iterations Applied to Quasicontractive Maps

By Xue Zhiqun and Rhoades BE

Abstract

<p/> <p>We provide sufficient conditions for Picard iteration to converge faster than Krasnoselskij, Mann, Ishikawa, or Noor iteration for quasicontractive operators. We also compare the rates of convergence between Krasnoselskij and Mann iterations for Zamfirescu operators.</p

Topics: Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics, Applied mathematics. Quantitative methods, T57-57.97, Analysis, QA299.6-433
Publisher: Springer
Year: 2010
OAI identifier: oai:doaj.org/article:0c4e4bff9b304b57b450062c15aa3b55
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