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

Archives › Volume 6, Number 1 (2016)

Adv. Fixed Point Theory 6 (2016), 67–93

An algorithm for approximating a common fixed point of a finite family of Lipschitz pseudocontractive multi-valued mappings

Sebsibe Teferi Woldeamanuel, Mengistu Goa Sangago, Habtu Zegeye

Abstract

The purpose of this paper is twofold. We first give erratum to a proof given by Woldeamanuel et al. [Strong convergence theorems for a common fixed point of a finite family of Lipschitz hemicontractive-type multivaled mappings, Adv. Fixed Point Theory, 5 (2015), No. 2, 228-253]. In addition, we study an algorithm which approximates a common fixed point of a finite family of Lipschitz pseudocontractive multi-valued mappings under appropriate conditions.

Published
24 February 2016
Volume
6 (2016)
License
CC BY 3.0

Copyright © 2016 Sebsibe Teferi Woldeamanuel, Mengistu Goa Sangago, Habtu Zegeye. 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

S. T. Woldeamanuel, M. G. Sangago, H. Zegeye, An algorithm for approximating a common fixed point of a finite family of Lipschitz pseudocontractive multi-valued mappings, Adv. Fixed Point Theory 6 (2016), 67–93.

BibTeX
@article{Woldeamanuel2016,
  author  = {Woldeamanuel, Sebsibe Teferi and Sangago, Mengistu Goa and Zegeye, Habtu},
  title   = {An algorithm for approximating a common fixed point of a finite family of Lipschitz pseudocontractive multi-valued mappings},
  journal = {Adv. Fixed Point Theory},
  volume  = {6},
  year    = {2016},
  pages   = {67--93},
  doi     = {}
}