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

Abstract


n 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.

Authors

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

Keywords

Picard iteration, Mann iteration, contractive map

Paper coordinates

Ş.M. Şoltuz, A remark concerning the paper “An equivalence between the convergence of Ishikawa, Mann and Picard iterations”, Rev. Anal. Numer. Theor. Approx. 33 (2004) no. 1, 95-96, https://doi.org/10.33993/jnaat331-764

PDF

About this paper

Journal

Revue d’Analyse Numerique et Theorie de l’approximation

Publisher Name

Romanian Academy

Print ISSN

2457-6794

Online ISSN

2501-059X

google scholar link

[1] Liu, L.-S.,Ishikawa and Mann iterative process with errors for nonlinear strongly accre-tive mappings in Banach spaces, J. Math. Anal. Appl.,194, pp. 114–125, 1995.
[2] Mann, W. R.Mean value in iteration, Proc. Amer. Math. Soc.,4, pp. 506–510, 1953.
[3] Soltuz, S. M.,An equivalence between the convergences of Ishikawa, Mann and Picarditerations, Math. Commun.,8, pp. 15–22, 2003.

2004

Related Posts