A remark concerning the paper "An equivalence between the convergence of Ishikawa, Mann and Picard iterations"

Authors

  • Ştefan M. Şoltuz Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy

Keywords:

Picard iteration, Mann iteration, contractive map

Abstract

In this note we show that a result previously obtained by us [An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp.~15--22, 2003], holds under weaker assumptions.

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References

Liu, L.-S., Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces, J. Math. Anal. Appl., 194, pp. 114-125, 1995, https://doi.org/10.1006/jmaa.1995.1289

Mann, W. R. Mean value in iteration, Proc. Amer. Math. Soc., 4, pp. 506-510, 1953, https://doi.org/10.1090/s0002-9939-1953-0054846-3

Soltuz, S. M., An equivalence between the convergences of Ishikawa, Mann and Picard iterations, Math. Commun., 8, pp. 15-22, 2003.

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Published

2004-02-01

How to Cite

Şoltuz, Ştefan M. (2004). A remark concerning the paper "An equivalence between the convergence of Ishikawa, Mann and Picard iterations". Rev. Anal. Numér. Théor. Approx., 33(1), 95–96. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2004-vol33-no1-art12

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