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The equivalence of Mann iteration and Ishikawa iteration for \(\psi\)-uniformly pseudocontractive or \(\psi\)-uniformly accretive maps

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Publication:1777709
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DOI10.1155/S0161171204312020zbMath1067.47082MaRDI QIDQ1777709

Ştefan M. Şoltuz, Billy E. Rhoades

Publication date: 25 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51473


zbMATH Keywords

Ishikawa iterationpseudocontractive maps


Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)


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Simpler is also better in approximating fixed points ⋮ The equivalence between the \(T\)-stabilities of Mann and Ishikawa iterations



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