Data Dependence for Ishikawa Iteration When Dealing with Contractive-Like Operators

We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example is given, in which instead of computing the fixed point of an operator, we approximate the operator with a contractive-like one. For which it is possible to compute the f...

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Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) 2008-06, Vol.2008 (1), Article 242916
Hauptverfasser: Şoltuz, ŞM, Grosan, Teodor
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example is given, in which instead of computing the fixed point of an operator, we approximate the operator with a contractive-like one. For which it is possible to compute the fixed point, and therefore to approximate the fixed point of the initial operator.
ISSN:1687-1812
1687-1820
1687-1812
DOI:10.1155/2008/242916