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

Archives › Volume 2, Number 4 (2012)

Adv. Fixed Point Theory 2 (2012), 464–472

Approximating common fixed points of a three-step iteration for four asymptotically non-expansive mappings in CAT(0) spaces

R.C. Dimri, Shruti Chaukiyal, Sandeep Bhatt

Abstract

In the present paper, we study a three-step iterative algorithm for four asymptotically non-expansive mappings in CAT(0) spaces.The result presented in this paper improve and extend the corresponding results of [Y.Niwongsa and B.Panyank: Noor Iteration for Asymptotically Nonexpansive Mappings in $CAT(0)$ Spaces [9]].Consquently an interesting example is provided to illustrate the main results.

Published
6 November 2012
Volume
2 (2012)
License
CC BY 3.0

Copyright © 2012 R.C. Dimri, Shruti Chaukiyal, Sandeep Bhatt. 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

R. C. D. S. C. Sandeep Bhatt, Approximating common fixed points of a three-step iteration for four asymptotically non-expansive mappings in CAT(0) spaces, Adv. Fixed Point Theory 2 (2012), 464–472.

BibTeX
@article{Bhatt2012,
  author  = {Sandeep Bhatt, R.C. Dimri, Shruti Chaukiyal,},
  title   = {Approximating common fixed points of a three-step iteration for four asymptotically non-expansive mappings in CAT(0) spaces},
  journal = {Adv. Fixed Point Theory},
  volume  = {2},
  year    = {2012},
  pages   = {464--472},
  doi     = {}
}