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Advances in Fixed Point Theory ISSN 1927-6303 (Print)

Archives › Volume 5, Number 3 (2015)

Adv. Fixed Point Theory 5 (2015), 278–292

On the general principle of multi-step fixed point iterative schemes

Mohammad Asaduzzaman, Adem Kilicman

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Abstract

In this study, we establish a general principle for multi-step fixed point iterative schemes in the sense of Rhoades and Soltuz [B.E. Rhoades, S.M. Soltuz, The equivalence between Mann-Ishikawa iterations and multi-step iteration, Nonlinear Analysis 58 (2004), 219-228] to approximate fixed points of the maps satisfying the generic type contractive definition in Banach spaces.

Published
13 July 2015
Volume
5 (2015)
License
CC BY 3.0

Copyright © 2015 Mohammad Asaduzzaman, Adem Kilicman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

M. Asaduzzaman, A. Kilicman, On the general principle of multi-step fixed point iterative schemes, Adv. Fixed Point Theory 5 (2015), 278–292.

BibTeX
@article{Asaduzzaman2015,
  author  = {Asaduzzaman, Mohammad and Kilicman, Adem},
  title   = {On the general principle of multi-step fixed point iterative schemes},
  journal = {Adv. Fixed Point Theory},
  volume  = {5},
  year    = {2015},
  pages   = {278--292},
  doi     = {}
}