Remarks of equivalence among Picard, Mann, and Ishikawa iterations in normed spaces

DOI10.1155/2007/61434zbMath1155.47316OpenAlexW1989629437WikidataQ59213726 ScholiaQ59213726MaRDI QIDQ2472293

Zhiqun Xue

Publication date: 21 February 2008

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

Full work available at URL: https://eudml.org/doc/55097

zbMATH Keywords

convergenceMann iterationPicard iterationZamfirescu operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10)

Related Items (5)

On \(T\)-stability of Picard iteration in cone metric spaces ⋮ Fixed point of a new three-step iteration algorithm under contractive-like operators over normed spaces ⋮ Equivalence of semistability of Picard, Mann, Krasnoselskij and Ishikawa iterations ⋮ Equivalence results for implicit Jungck–Kirk type iterations ⋮ On the equivalence of stochastic fixed point iterations for generalized \(\varphi\)-contractive-like operators

Cites Work

• Fixed Point Iteration for Local Strictly Pseudo-Contractive Mapping
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