# The equivalence between the convergences of Ishikawa and Mann iterations for an asymptotically pseudocontractive map

## Abstract

The convergence of Mann iteration is equivalent to the convergence of Ishikawa iterations, when T is an asymptotically nonexpansive and asymptotically pseudocontractive map.

## Authors

S.M. Soltuz
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

## Keywords

Mann type iteration; Ishikawa type iteration; Asymptotically nonexpansive; Asymptotically pseudocontractive.

### References

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## Paper coordinates

B. E. Rhoades and Ştefan M. Şoltuz, The equivalence between the convergences of Ishikawa and Mann iterations for asymptotically pseudocontractive map, J. Math. Anal. Appl. 283 (2003), 681-688

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Elsevier

0022-247X