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: 252

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.