The equivalence between the Krasnoselskij, Mann and Ishikawa iterations

Authors

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

Keywords:

Krasnoselskij, Mann and Ishikawa iterations, strongly pseudocontractive map

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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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. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no2-art8

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