The equivalence between the Krasnoselskij, Mann and Ishikawa iterations

Authors

  • B. E. Rhoades Indiana University, USA
  • Ştefan M. Şoltuz Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania

DOI:

https://doi.org/10.33993/jnaat352-846

Keywords:

Krasnoselskij, Mann and Ishikawa iterations, strongly pseudocontractive map
Abstract views: 237

Abstract

We shall prove that Krasnoselskij iteration converges if and only if Mann-Ishikawa iteration converges, for certain classes of strongly pseudocontractive mappings.

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References

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Published

2006-08-01

How to Cite

Rhoades, B. E., & Şoltuz, Ştefan M. (2006). The equivalence between the Krasnoselskij, Mann and Ishikawa iterations. Rev. Anal. Numér. Théor. Approx., 35(2), 199–205. https://doi.org/10.33993/jnaat352-846

Issue

Vol. 35 No. 2 (2006)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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