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

Ştefan M. Şoltuz

doi:10.33993/jnaat331-764

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, Romania

DOI:

https://doi.org/10.33993/jnaat331-764

Keywords:

Picard iteration, Mann iteration, contractive map

Abstract views: 242

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 DOI: 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 DOI: 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. https://doi.org/10.33993/jnaat331-764

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Issue

Vol. 33 No. 1 (2004)

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.