The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models dealing with a non-Lipschitzian map

Authors

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

DOI:

https://doi.org/10.33993/jnaat342-805

Keywords:

Mann-Ishikawa iterations, Mann-Ishikawa iterations with errors
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Abstract

The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models for several classes of non-Lipschitzian operators.

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References

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Rhoades, B.E., Şoltuz, Ş.M., The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators, Internat. J. Math. & Math. Sci. 2003, pp. 451-459, 2003, https://doi.org/10.1155/s0161171203110198

Rhoades, B.E., Şoltuz, Ş.M., The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators, Internat. J. Math. & Math. Sci. 2003, pp. 2645-2652, 2003, https://doi.org/10.1155/s0161171203211418 DOI: https://doi.org/10.1155/S0161171203211418

Rhoades, B.E., Şoltuz, Ş.M., The equivalence between the convergences of Ishikawa and Mann iterations for asymptotically pseudocontractive map, J. Math. Anal. Appl.283, pp. 681-688, 2003, https://doi.org/10.1016/s0022-247x(03)00338-x DOI: https://doi.org/10.1016/S0022-247X(03)00338-X

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Rhoades, B.E., Şoltuz, Ş.M., The Equivalence of Mann and Ishikawa Iteration for a Lipschitzian psi-uniformly pseudocontractive and psi-uniformly Accretive Maps, Tamkang J. Math., 35, pp. 235-245, 2004, https://doi.org/10.5556/j.tkjm.35.2004.204 DOI: https://doi.org/10.5556/j.tkjm.35.2004.204

Rhoades, B.E., Şoltuz, Ş.M., The equivalence of Mann iteration and Ishikawa iteration for ψ- uniformly pseudocontractive or ψ-uniformly accretive maps, Internat. J. Math. & Math. Sci. 2004, pp. 2443-2452, 2004, https://doi.org/10.1155/s0161171204312020 DOI: https://doi.org/10.1155/S0161171204312020

Şoltuz, Ş.M., Mann-Ishikawa iterations and Mann-Ishikawa iterations with errors are equivalent models, Math. Commun. 8, pp. 139-150, 2003.

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Published

2005-08-01

How to Cite

Rhoades, B. E., & Şoltuz, Ştefan M. (2005). The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models dealing with a non-Lipschitzian map. Rev. Anal. Numér. Théor. Approx., 34(2), 181–193. https://doi.org/10.33993/jnaat342-805

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Vol. 34 No. 2 (2005)

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