African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 261

Article in Press

Strong convergence theorem for finite family of generalised asymptotically nonexpansive maps

Chika Moore, Agatha Chizoba Nnubia and Shiela Bishop

  •  Received: 21 August 2018
  •  Accepted: 30 November 2018
Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P and Ti:1 ;m : K ô€€€! X a finite family of uniformly countinous generalised asymptotically nonexpansive maps with a nonempty common fixed points set F. We provided and proved sufficient conditions for the strong convergence of a sequence of successive approximations generated by m-step algorithm to a point of F.

Keywords: Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P and Ti:1 ;m : K ô€€€! X a finite family of uniformly countinous generalised asymptotically nonexpansive maps with a nonempty common fixed points set F. We provided and proved sufficient conditions for the strong convergence of a sequence of successive approximations generated by m-step algorithm to a point of F.

Copyright © 2024 Author(s) retain the copyright of this article.

This article is currently in press and will be published under the terms of the Creative Commons Attribution License 4.0

Articles in press
Back to articles
SUBSCRIBE TO RSS
SUBMIT MANUSCRIPT
CONFERENCES